Solve for x 8x-9=11x+12

$8 x - 9 = 11 x + 12$

Step 1

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

Subtract $11 x$ from both sides of the equation.

$8 x - 9 - 11 x = 12$

Subtract $11 x$ from $8 x$ .

$- 3 x - 9 = 12$

Step 2

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

Add $9$ to both sides of the equation.

$- 3 x = 12 + 9$

Add $12$ and $9$ .

$- 3 x = 21$

Step 3

Divide each term in $- 3 x = 21$ by $- 3$ and simplify.

Divide each term in $- 3 x = 21$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{21}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{21}{- 3}$

Divide $x$ by $1$ .

$x = \frac{21}{- 3}$

Simplify the right side.

Divide $21$ by $- 3$ .

$x = - 7$