Solve for x -4x-9=-5-6x

$- 4 x - 9 = - 5 - 6 x$

Step 1

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

Add $6 x$ to both sides of the equation.

$- 4 x - 9 + 6 x = - 5$

Add $- 4 x$ and $6 x$ .

$2 x - 9 = - 5$

Step 2

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

Add $9$ to both sides of the equation.

$2 x = - 5 + 9$

Add $- 5$ and $9$ .

$2 x = 4$

Step 3

Divide each term in $2 x = 4$ by $2$ and simplify.

Divide each term in $2 x = 4$ by $2$ .

$\frac{2 x}{2} = \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{4}{2}$

Divide $x$ by $1$ .

$x = \frac{4}{2}$

Simplify the right side.

Divide $4$ by $2$ .

$x = 2$