Solve for x 150-x-2x=120+2x

$150 - x - 2 x = 120 + 2 x$

Step 1

Subtract $2 x$ from $- x$ .

$150 - 3 x = 120 + 2 x$

Step 2

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

Subtract $2 x$ from both sides of the equation.

$150 - 3 x - 2 x = 120$

Subtract $2 x$ from $- 3 x$ .

$150 - 5 x = 120$

Step 3

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

Subtract $150$ from both sides of the equation.

$- 5 x = 120 - 150$

Subtract $150$ from $120$ .

$- 5 x = - 30$

Step 4

Divide each term in $- 5 x = - 30$ by $- 5$ and simplify.

Divide each term in $- 5 x = - 30$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 30}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 30}{- 5}$

Divide $x$ by $1$ .

$x = \frac{- 30}{- 5}$

Simplify the right side.

Divide $- 30$ by $- 5$ .

$x = 6$