Evaluate 2-x=x-8

$2 - x = x - 8$

Step 1

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

Subtract $x$ from both sides of the equation.

$2 - x - x = - 8$

Subtract $x$ from $- x$ .

$2 - 2 x = - 8$

Step 2

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

Subtract $2$ from both sides of the equation.

$- 2 x = - 8 - 2$

Subtract $2$ from $- 8$ .

$- 2 x = - 10$

Step 3

Divide each term in $- 2 x = - 10$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 10$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 10}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 10}{- 2}$

Simplify the right side.

Divide $- 10$ by $- 2$ .

$x = 5$