Question

What value of m makes the equation 5/2(4m-8)- 2(6m -7)= -10 true?

A: -7
B: -6
C: 2
D: 7
(5/2 is supposed to be a fraction)

Answer 1

`(5)/(2)(4m-8)- 2(6m -7)= -10\\\\\\(5\cdot4)/(2)m-(5\cdot8)/(2)- 2\cdot6m -2\cdot(-7)= -10\\\\\\(20)/(2)m-(40)/(2)-12m+14=-10\\\\\\10m-20-12m+14=-10\\\\-2m-6=-10\quad|\cdot(-1)\\\\2m+6=10\\\\2m=10-6\\\\2m=4\quad|:2\\\\\boxed{m=2}`

Answer C.