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The difference between six times a number and 7 is equal to five times the sum of the number and 4. Find the number.
The difference between six times a number and 7 is equal to five times the sum of the number and 4. Find the number.If x represents the number, which equation is correct for solving this problem?
A. 7-6x=5x+4
B. 6x-7=5(x+4)
C. 7-6x=5(x+4)
D. 6x-7=5x+4
Final answer:The correct equation for this problem is'6x - 7 = 5(x + 4)'(option B), converting the worded problem into an algebraic equation using x as the unknown number.Explanation:This question pertains to algebra and requires interpretation of words to form a mathematical equation. Here, if we let thenumberbex, we can form the equation as such: 'six times a number (6x) and 7' translates to '6x - 7', and 'equal to five times the sum of the number and 4' translates to '= 5(x + 4)'. Therefore, the correct equation for solving this problem is6x - 7 = 5(x + 4)which is option B.Learn more about Algebra here:brainly.com/question/24875240#SPJ2...
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