# How do you solve (-22+3x)/(3x+7)=2#?

Nov 28, 2016

$x = - 12$

#### Explanation:

First, multiply each side of the equation by (3x + 7) to eliminate the fraction:

$\frac{\left(3 x + 7\right) \cdot \left(- 22 + 3 x\right)}{3 x + 7} = 2 \left(3 x + 7\right)$

$\frac{\cancel{3 x + 7} \cdot \left(- 22 + 3 x\right)}{\cancel{3 x + 7}} = 6 x + 14$

$- 22 + 3 x = 6 x + 14$

You can now complete this problem using the necessary mathematics to isolate and solve for $x$:

$- 22 + 3 x - 3 x - 14 = 6 x + 14 - 3 x - 14$

$- 22 - 14 = 6 x - 3 x$

$- 36 = 3 x$

$\frac{- 36}{3} = \frac{3 x}{3}$

$- 12 = x$