Solve for x a=3/2(x+2)

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

Rewrite the equation as $\frac{3}{2} \cdot (x + 2) = a$ .

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

Multiply both sides of the equation by $\frac{2}{3}$ .

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

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{2}{3} (\frac{3}{2} \cdot (x + 2))$ .

Apply the distributive property.

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

Combine $\frac{3}{2}$ and $x$ .

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

Apply the distributive property.

$\frac{2}{3} \cdot \frac{3 x}{2} + \frac{2}{3} \cdot 3 = \frac{2}{3} a$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2}{3} \cdot \frac{3 x}{2} + \frac{2}{3} \cdot 3 = \frac{2}{3} a$

Rewrite the expression.

$\frac{1}{3} (3 x) + \frac{2}{3} \cdot 3 = \frac{2}{3} a$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) + \frac{2}{3} \cdot 3 = \frac{2}{3} a$

Cancel the common factor.

$\frac{1}{3} (3 x) + \frac{2}{3} \cdot 3 = \frac{2}{3} a$

Rewrite the expression.

$x + \frac{2}{3} \cdot 3 = \frac{2}{3} a$

Cancel the common factor of $3$ .

Cancel the common factor.

$x + \frac{2}{3} \cdot 3 = \frac{2}{3} a$

Rewrite the expression.

$x + 2 = \frac{2}{3} a$

Simplify the right side.

Combine $\frac{2}{3}$ and $a$ .

$x + 2 = \frac{2 a}{3}$

Subtract $2$ from both sides of the equation.

$x = \frac{2 a}{3} - 2$