Solve for x 11x=8x-6

$11 x = 8 x - 6$

Step 1

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

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

$11 x - 8 x = - 6$

Subtract $8 x$ from $11 x$ .

$3 x = - 6$

Step 2

Divide each term in $3 x = - 6$ by $3$ and simplify.

Divide each term in $3 x = - 6$ by $3$ .

$\frac{3 x}{3} = \frac{- 6}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 6}{3}$

Divide $x$ by $1$ .

$x = \frac{- 6}{3}$

Simplify the right side.

Divide $- 6$ by $3$ .

$x = - 2$