Solve for x x+6-2x=x-24

$x + 6 - 2 x = x - 24$

Step 1

Subtract $2 x$ from $x$ .

$- x + 6 = x - 24$

Step 2

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

Subtract $x$ from both sides of the equation.

$- x + 6 - x = - 24$

Subtract $x$ from $- x$ .

$- 2 x + 6 = - 24$

Step 3

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

Subtract $6$ from both sides of the equation.

$- 2 x = - 24 - 6$

Subtract $6$ from $- 24$ .

$- 2 x = - 30$

Step 4

Divide each term in $- 2 x = - 30$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 30$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 30}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 30}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 30}{- 2}$

Simplify the right side.

Divide $- 30$ by $- 2$ .

$x = 15$