Solve for x 2x+8=6x-12

$2 x + 8 = 6 x - 12$

Step 1

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

Subtract $6 x$ from both sides of the equation.

$2 x + 8 - 6 x = - 12$

Subtract $6 x$ from $2 x$ .

$- 4 x + 8 = - 12$

Step 2

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

Subtract $8$ from both sides of the equation.

$- 4 x = - 12 - 8$

Subtract $8$ from $- 12$ .

$- 4 x = - 20$

Step 3

Divide each term in $- 4 x = - 20$ by $- 4$ and simplify.

Divide each term in $- 4 x = - 20$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 20}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 20}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 20}{- 4}$

Simplify the right side.

Divide $- 20$ by $- 4$ .

$x = 5$