# How do you solve  3(x-5)-4(2x-4)=2(x-11)?

Apr 15, 2018

$x = \frac{23}{7}$

#### Explanation:

$3 \left(x - 5\right) - 4 \left(2 x - 4\right) = 2 \left(x - 11\right)$

$3 x - 15 - 8 x + 16 = 2 x - 22$

$3 x - 8 x - 2 x = - 22 + 15 - 16$

$- 7 x = - 23$

Multiply both sides by (-1) so the signs can change.

$7 x = 23$

Now divide both sides by 7

$\frac{\cancel{7} x}{\cancel{7}} = \frac{23}{7}$

$x = \frac{23}{7}$