# How do you solve 5(2x - 7) = 33 - 3(6x + 4)?

Apr 12, 2016

$x = 2$

#### Explanation:

$5 \left(2 x - 7\right) = 33 - 3 \left(6 x + 4\right)$

$5 \cdot \left(2 x\right) + 5 \cdot \left(- 7\right) = 33 + \left(- 3\right) \cdot \left(6 x\right) + \left(- 3\right) \cdot \left(4\right)$

$10 x - 35 = 33 - 18 x - 12$

$10 x + 18 x = 33 + 35 - 12$

$28 x = 56$

$x = \frac{56}{28}$

$x = 2$