Solve for x 3/4(x+8)=9

$\frac{3}{4} (x + 8) = 9$

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} (\frac{3}{4} \cdot (x + 8)) = \frac{4}{3} \cdot 9$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{3} (\frac{3}{4} \cdot (x + 8))$ .

Apply the distributive property.

$\frac{4}{3} (\frac{3}{4} x + \frac{3}{4} \cdot 8) = \frac{4}{3} \cdot 9$

Combine $\frac{3}{4}$ and $x$ .

$\frac{4}{3} (\frac{3 x}{4} + \frac{3}{4} \cdot 8) = \frac{4}{3} \cdot 9$

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $3$ by $2$ .

$\frac{4}{3} (\frac{3 x}{4} + 6) = \frac{4}{3} \cdot 9$

Apply the distributive property.

$\frac{4}{3} \cdot \frac{3 x}{4} + \frac{4}{3} \cdot 6 = \frac{4}{3} \cdot 9$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 x}{4} + \frac{4}{3} \cdot 6 = \frac{4}{3} \cdot 9$

Rewrite the expression.

$\frac{1}{3} (3 x) + \frac{4}{3} \cdot 6 = \frac{4}{3} \cdot 9$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) + \frac{4}{3} \cdot 6 = \frac{4}{3} \cdot 9$

Cancel the common factor.

$\frac{1}{3} (3 x) + \frac{4}{3} \cdot 6 = \frac{4}{3} \cdot 9$

Rewrite the expression.

$x + \frac{4}{3} \cdot 6 = \frac{4}{3} \cdot 9$

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $4$ by $2$ .

$x + 8 = \frac{4}{3} \cdot 9$

Simplify the right side.

Simplify $\frac{4}{3} \cdot 9$ .

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$x + 8 = \frac{4}{3} \cdot (3 (3))$

Cancel the common factor.

$x + 8 = \frac{4}{3} \cdot (3 \cdot 3)$

Rewrite the expression.

$x + 8 = 4 \cdot 3$

Multiply $4$ by $3$ .

$x + 8 = 12$

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

Subtract $8$ from both sides of the equation.

$x = 12 - 8$

Subtract $8$ from $12$ .

$x = 4$

Solve for x 3/4(x+8)=9

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