Solve for x -9x+9-12x=4x-13-5x

$- 9 x + 9 - 12 x = 4 x - 13 - 5 x$

Subtract $12 x$ from $- 9 x$ .

$- 21 x + 9 = 4 x - 13 - 5 x$

Subtract $5 x$ from $4 x$ .

$- 21 x + 9 = - x - 13$

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

Add $x$ to both sides of the equation.

$- 21 x + 9 + x = - 13$

Add $- 21 x$ and $x$ .

$- 20 x + 9 = - 13$

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

Subtract $9$ from both sides of the equation.

$- 20 x = - 13 - 9$

Subtract $9$ from $- 13$ .

$- 20 x = - 22$

Divide each term in $- 20 x = - 22$ by $- 20$ and simplify.

Divide each term in $- 20 x = - 22$ by $- 20$ .

$\frac{- 20 x}{- 20} = \frac{- 22}{- 20}$

Simplify the left side.

Cancel the common factor of $- 20$ .

Cancel the common factor.

$\frac{- 20 x}{- 20} = \frac{- 22}{- 20}$

Divide $x$ by $1$ .

$x = \frac{- 22}{- 20}$

Simplify the right side.

Cancel the common factor of $- 22$ and $- 20$ .

Factor $- 2$ out of $- 22$ .

$x = \frac{- 2 (11)}{- 20}$

Cancel the common factors.

Factor $- 2$ out of $- 20$ .

$x = \frac{- 2 \cdot 11}{- 2 \cdot 10}$

Cancel the common factor.

$x = \frac{- 2 \cdot 11}{- 2 \cdot 10}$

Rewrite the expression.

$x = \frac{11}{10}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{11}{10}$

Decimal Form:

$x = 1.1$

Mixed Number Form:

$x = 1 \frac{1}{10}$