Solve for x 2/3=(x+9)/12

$\frac{2}{3} = \frac{x + 9}{12}$

Rewrite the equation as $\frac{x + 9}{12} = \frac{2}{3}$ .

$\frac{x + 9}{12} = \frac{2}{3}$

Multiply both sides of the equation by $12$ .

$12 \frac{x + 9}{12} = 12 (\frac{2}{3})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$12 \frac{x + 9}{12} = 12 (\frac{2}{3})$

Rewrite the expression.

$x + 9 = 12 (\frac{2}{3})$

Simplify the right side.

Simplify $12 (\frac{2}{3})$ .

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

$x + 9 = 3 (4) \frac{2}{3}$

Cancel the common factor.

$x + 9 = 3 \cdot 4 \frac{2}{3}$

Rewrite the expression.

$x + 9 = 4 \cdot 2$

Multiply $4$ by $2$ .

$x + 9 = 8$

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

Subtract $9$ from both sides of the equation.

$x = 8 - 9$

Subtract $9$ from $8$ .

$x = - 1$