Solve for x x-8=-2+x-3x

$x - 8 = - 2 + x - 3 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 2 + x - 3 x = x - 8$

Step 2

Subtract $3 x$ from $x$ .

$- 2 - 2 x = x - 8$

Step 3

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

Subtract $x$ from both sides of the equation.

$- 2 - 2 x - x = - 8$

Subtract $x$ from $- 2 x$ .

$- 2 - 3 x = - 8$

Step 4

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

Add $2$ to both sides of the equation.

$- 3 x = - 8 + 2$

Add $- 8$ and $2$ .

$- 3 x = - 6$

Step 5

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 $- 3$ .

$x = 2$