Solve for x 9x+8a=2c-6a

$9 x + 8 a = 2 c - 6 a$

Move all terms not containing $x$ to the right side of the equation.

Subtract $8 a$ from both sides of the equation.

$9 x = 2 c - 6 a - 8 a$

Subtract $8 a$ from $- 6 a$ .

$9 x = 2 c - 14 a$

Divide each term in $9 x = 2 c - 14 a$ by $9$ and simplify.

Divide each term in $9 x = 2 c - 14 a$ by $9$ .

$\frac{9 x}{9} = \frac{2 c}{9} + \frac{- 14 a}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} = \frac{2 c}{9} + \frac{- 14 a}{9}$

Divide $x$ by $1$ .

$x = \frac{2 c}{9} + \frac{- 14 a}{9}$

Simplify the right side.

Move the negative in front of the fraction.

$x = \frac{2 c}{9} - \frac{14 a}{9}$