Solve for x -3x+5=-6x-13+x

$- 3 x + 5 = - 6 x - 13 + x$

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

$- 6 x - 13 + x = - 3 x + 5$

Add $- 6 x$ and $x$ .

$- 5 x - 13 = - 3 x + 5$

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

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

$- 5 x - 13 + 3 x = 5$

Add $- 5 x$ and $3 x$ .

$- 2 x - 13 = 5$

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

Add $13$ to both sides of the equation.

$- 2 x = 5 + 13$

Add $5$ and $13$ .

$- 2 x = 18$

Divide each term in $- 2 x = 18$ by $- 2$ and simplify.

Divide each term in $- 2 x = 18$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{18}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{18}{- 2}$

Divide $x$ by $1$ .

$x = \frac{18}{- 2}$

Simplify the right side.

Divide $18$ by $- 2$ .

$x = - 9$