Solve for x 6x-14-4x=12x+8-6x+10

$6 x - 14 - 4 x = 12 x + 8 - 6 x + 10$

Step 1

Subtract $4 x$ from $6 x$ .

$2 x - 14 = 12 x + 8 - 6 x + 10$

Step 2

Simplify $12 x + 8 - 6 x + 10$ .

Subtract $6 x$ from $12 x$ .

$2 x - 14 = 6 x + 8 + 10$

Add $8$ and $10$ .

$2 x - 14 = 6 x + 18$

Step 3

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

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

$2 x - 14 - 6 x = 18$

Subtract $6 x$ from $2 x$ .

$- 4 x - 14 = 18$

Step 4

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

Add $14$ to both sides of the equation.

$- 4 x = 18 + 14$

Add $18$ and $14$ .

$- 4 x = 32$

Step 5

Divide each term in $- 4 x = 32$ by $- 4$ and simplify.

Divide each term in $- 4 x = 32$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{32}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{32}{- 4}$

Divide $x$ by $1$ .

$x = \frac{32}{- 4}$

Simplify the right side.

Divide $32$ by $- 4$ .

$x = - 8$