Question

The value of the expression 5x+7 is 3 times less than the value of the expression 61–10x

Find x.

Answer 1

x = 8/5

Explanation:

`\text{The expression 5x+7 is 3 times less than the value of the expression 61-10x:}\\\\3(5x+7)=61-10x\qquad\text{use distributive property}\ a(b+ c)=ab+ac\\\\(3)(5x)+(3)(7)=61-10x\\\\15x+21=61-10x\qquad\text{subtract 21 from both sides}\\\\15x=40-10x\qquad\text{add 10x to both sides}\\\\25x=40\qquad\text{divide both sides by 25}\\\\x=(40)/(25)\\\\x=(40:5)/(25:5)\\\\\boxed{x=(8)/(5)}`