Solve for x 5x+6x-2x=3x-18+12-6

$5 x + 6 x - 2 x = 3 x - 18 + 12 - 6$

Simplify $5 x + 6 x - 2 x$ .

Add $5 x$ and $6 x$ .

$11 x - 2 x = 3 x - 18 + 12 - 6$

Subtract $2 x$ from $11 x$ .

$9 x = 3 x - 18 + 12 - 6$

Simplify $3 x - 18 + 12 - 6$ .

Add $- 18$ and $12$ .

$9 x = 3 x - 6 - 6$

Subtract $6$ from $- 6$ .

$9 x = 3 x - 12$

Move all terms containing $x$ to the left side of the equation.

Subtract $3 x$ from both sides of the equation.

$9 x - 3 x = - 12$

Subtract $3 x$ from $9 x$ .

$6 x = - 12$

Divide each term in $6 x = - 12$ by $6$ and simplify.

Divide each term in $6 x = - 12$ by $6$ .

$\frac{6 x}{6} = \frac{- 12}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 12}{6}$

Divide $x$ by $1$ .

$x = \frac{- 12}{6}$

Simplify the right side.

Divide $- 12$ by $6$ .

$x = - 2$