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

1 answer:

4 0

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

Answer C.

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