Solve for x 2(3x-2)+9=-5x

$2 (3 x - 2) + 9 = - 5 x$

Simplify $2 (3 x - 2) + 9$ .

Simplify each term.

Apply the distributive property.

$2 (3 x) + 2 \cdot - 2 + 9 = - 5 x$

Multiply $3$ by $2$ .

$6 x + 2 \cdot - 2 + 9 = - 5 x$

Multiply $2$ by $- 2$ .

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

Add $- 4$ and $9$ .

$6 x + 5 = - 5 x$

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

Add $5 x$ to both sides of the equation.

$6 x + 5 + 5 x = 0$

Add $6 x$ and $5 x$ .

$11 x + 5 = 0$

Subtract $5$ from both sides of the equation.

$11 x = - 5$

Divide each term in $11 x = - 5$ by $11$ and simplify.

Divide each term in $11 x = - 5$ by $11$ .

$\frac{11 x}{11} = \frac{- 5}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 x}{11} = \frac{- 5}{11}$

Divide $x$ by $1$ .

$x = \frac{- 5}{11}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{5}{11}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{11}$

Decimal Form:

$x = - 0.\overline{45}$