{"id":35711,"date":"2025-06-24T15:14:45","date_gmt":"2025-06-24T15:14:45","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=35711"},"modified":"2025-06-24T15:14:46","modified_gmt":"2025-06-24T15:14:46","slug":"what-is-3x-7-19-please-show-your-work","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-3x-7-19-please-show-your-work\/","title":{"rendered":"what is -3x + 7 = 19? PLEASE SHOW YOUR WORK"},"content":{"rendered":"\n<p>what is -3x + 7 = 19? PLEASE SHOW YOUR WORK<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the equation:<\/p>\n\n\n\n<p><strong>\u22123x + 7 = 19<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Solution:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Start with the original equation:<\/strong> \u22123x+7=19-3x + 7 = 19\u22123x+7=19<\/li>\n\n\n\n<li><strong>Subtract 7 from both sides to isolate the term with the variable:<\/strong> \u22123x+7\u22127=19\u22127-3x + 7 &#8211; 7 = 19 &#8211; 7\u22123x+7\u22127=19\u22127 \u22123x=12-3x = 12\u22123x=12<\/li>\n\n\n\n<li><strong>Divide both sides by \u22123 to solve for x:<\/strong> \u22123x\u22123=12\u22123\\frac{-3x}{-3} = \\frac{12}{-3}\u22123\u22123x\u200b=\u2212312\u200b x=\u22124x = -4x=\u22124<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>x=\u22124x = -4x=\u22124<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation <\/h3>\n\n\n\n<p>To solve the linear equation \u22123x plus 7 equals 19, we need to isolate the variable x on one side of the equation. Linear equations like this one are equations where the variable has no exponents and the graph of the equation would be a straight line.<\/p>\n\n\n\n<p>The first step is to eliminate the constant term on the left side of the equation. The constant is the number that is added to or subtracted from the variable term. In this case, the constant is plus 7. We eliminate it by performing the opposite operation, which is subtracting 7 from both sides of the equation. This keeps the equation balanced and does not change its truth value.<\/p>\n\n\n\n<p>When we subtract 7 from both sides, we get \u22123x equals 12. Now the equation only contains the variable term on the left side.<\/p>\n\n\n\n<p>The next step is to get x by itself. The coefficient of x is \u22123. To isolate x, we divide both sides of the equation by \u22123. Again, we do the same operation to both sides to keep the equation balanced.<\/p>\n\n\n\n<p>After dividing both sides by \u22123, we get x equals \u22124.<\/p>\n\n\n\n<p>To check our answer, we substitute x equals \u22124 back into the original equation. That means we replace x with \u22124 and evaluate:<\/p>\n\n\n\n<p>\u22123 times \u22124 equals 12. Then 12 plus 7 equals 19, which matches the right-hand side of the equation.<\/p>\n\n\n\n<p>Therefore, x equals \u22124 is the correct solution.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-684.jpeg\" alt=\"\" class=\"wp-image-35717\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-684.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-684-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-684-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>what is -3x + 7 = 19? PLEASE SHOW YOUR WORK The Correct Answer and Explanation is: To solve the equation: \u22123x + 7 = 19 Step-by-Step Solution: Final Answer: x=\u22124x = -4x=\u22124 Explanation To solve the linear equation \u22123x plus 7 equals 19, we need to isolate the variable x on one side of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-35711","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35711","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=35711"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35711\/revisions"}],"predecessor-version":[{"id":35721,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35711\/revisions\/35721"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=35711"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=35711"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=35711"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}