Solve for x -15-3x=4x-2x

$- 15 - 3 x = 4 x - 2 x$

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.

$4 x - 2 x = - 15 - 3 x$

Step 2

Subtract $2 x$ from $4 x$ .

$2 x = - 15 - 3 x$

Step 3

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

Add $3 x$ to both sides of the equation.

$2 x + 3 x = - 15$

Add $2 x$ and $3 x$ .

$5 x = - 15$

Step 4

Divide each term in $5 x = - 15$ by $5$ and simplify.

Divide each term in $5 x = - 15$ by $5$ .

$\frac{5 x}{5} = \frac{- 15}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 15}{5}$

Divide $x$ by $1$ .

$x = \frac{- 15}{5}$

Simplify the right side.

Divide $- 15$ by $5$ .

$x = - 3$