Solve for x 9x+8=2-9-12x

$9 x + 8 = 2 - 9 - 12 x$

Subtract $9$ from $2$ .

$9 x + 8 = - 7 - 12 x$

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

Add $12 x$ to both sides of the equation.

$9 x + 8 + 12 x = - 7$

Add $9 x$ and $12 x$ .

$21 x + 8 = - 7$

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

Subtract $8$ from both sides of the equation.

$21 x = - 7 - 8$

Subtract $8$ from $- 7$ .

$21 x = - 15$

Divide each term in $21 x = - 15$ by $21$ and simplify.

Divide each term in $21 x = - 15$ by $21$ .

$\frac{21 x}{21} = \frac{- 15}{21}$

Simplify the left side.

Cancel the common factor of $21$ .

Cancel the common factor.

$\frac{21 x}{21} = \frac{- 15}{21}$

Divide $x$ by $1$ .

$x = \frac{- 15}{21}$

Simplify the right side.

Cancel the common factor of $- 15$ and $21$ .

Factor $3$ out of $- 15$ .

$x = \frac{3 (- 5)}{21}$

Cancel the common factors.

Factor $3$ out of $21$ .

$x = \frac{3 \cdot - 5}{3 \cdot 7}$

Cancel the common factor.

$x = \frac{3 \cdot - 5}{3 \cdot 7}$

Rewrite the expression.

$x = \frac{- 5}{7}$

Move the negative in front of the fraction.

$x = - \frac{5}{7}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{7}$

Decimal Form:

$x = - 0.\overline{714285}$