Solve for x 3x-8=-x-8

$3 x - 8 = - x - 8$

Step 1

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

Add $x$ to both sides of the equation.

$3 x - 8 + x = - 8$

Add $3 x$ and $x$ .

$4 x - 8 = - 8$

Step 2

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

Add $8$ to both sides of the equation.

$4 x = - 8 + 8$

Add $- 8$ and $8$ .

$4 x = 0$

Step 3

Divide each term in $4 x = 0$ by $4$ and simplify.

Divide each term in $4 x = 0$ by $4$ .

$\frac{4 x}{4} = \frac{0}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{0}{4}$

Divide $x$ by $1$ .

$x = \frac{0}{4}$

Simplify the right side.

Divide $0$ by $4$ .

$x = 0$