If 7 more than twice a number is 4 less than three times the same number, what is the number?<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve the problem, we need to set up an equation based on the given conditions. The statement says:<\/p>\n\n\n\n “7 more than twice a number is 4 less than three times the same number.”<\/p>\n\n\n\n Let the unknown number be represented by the variable x<\/strong>.<\/p>\n\n\n\n The problem tells us that 7 more than twice a number<\/strong> equals 4 less than three times the same number<\/strong>. So, we can set up the equation: 2x+7=3x\u221242x + 7 = 3x – 4<\/p>\n\n\n\n Step 1: Isolate the variable (x) on one side of the equation.<\/strong><\/p>\n\n\n\n To do this, subtract 2x<\/strong> from both sides of the equation to move all terms involving x<\/strong> to one side: 7=x\u221247 = x – 4<\/p>\n\n\n\n Step 2: Solve for x.<\/strong><\/p>\n\n\n\n Next, add 4<\/strong> to both sides to move the constant term to the other side: 7+4=x7 + 4 = x x=11x = 11<\/p>\n\n\n\n The number is 11<\/strong>.<\/p>\n\n\n\n We started by translating the verbal expression into a mathematical equation. Then, we solved for x<\/strong> by isolating it on one side of the equation. This method allows us to find the number that satisfies the given relationship between twice the number, three times the number, and the constants involved.<\/p>\n","protected":false},"excerpt":{"rendered":" If 7 more than twice a number is 4 less than three times the same number, what is the number? The correct answer and explanation is: To solve the problem, we need to set up an equation based on the given conditions. 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Step-by-step solution:<\/h3>\n\n\n\n
Final answer:<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n