# How do you solve (c-8)/-2=(11-4c)/11?

May 8, 2018

$c = 22$

#### Explanation:

Multiply both sides by -22

$- 22 \times \left(\frac{c - 8}{-} 2\right) = - 22 \times \left(\frac{11 - 4 c}{11}\right)$

Cancel

$11 \times \left(c - 8\right) = - 2 \times \left(11 - 4 c\right)$

multiply out

$11 c - 88 = - 22 + 8 c$

Subtract $8 c$ from both sides

$3 c - 88 = - 22$

Add 88 to both sides

$3 c = 66$

Divide both sides by 3

$c = 22$