# How do you solve 9x - 4+ 3x = 2( 3- x )?

May 24, 2018

$x = \frac{5}{7}$

#### Explanation:

Solve:

$9 x - 4 + 3 x = 2 \left(3 - x\right)$

Expand the right-hand side.

$9 x - 4 + 3 x = 6 - 2 x$

Add $4$ to both sides of the equation.

$9 x + 3 x = 6 + 4 - 2 x$

Add $2 x$ to both sides.

$9 x + 3 x + 2 x = 6 + 4$

Combine like terms.

$14 x = 10$

Divide both sides by $14$.

$x = \frac{10}{14}$

Simplify.

$x = \frac{5}{7}$