Solve for x 2/3x=6

$\frac{2}{3} x = 6$

Step 1

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

$\frac{3}{2} (\frac{2}{3} x) = \frac{3}{2} \cdot 6$

Step 2

Simplify both sides of the equation.

Simplify the left side.

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

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

$\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} \cdot 6$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} \cdot 6$

Rewrite the expression.

$\frac{1}{2} (2 x) = \frac{3}{2} \cdot 6$

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) = \frac{3}{2} \cdot 6$

Cancel the common factor.

$\frac{1}{2} (2 x) = \frac{3}{2} \cdot 6$

Rewrite the expression.

$x = \frac{3}{2} \cdot 6$

Simplify the right side.

Simplify $\frac{3}{2} \cdot 6$ .

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$x = 3 \cdot 3$

Multiply $3$ by $3$ .

$x = 9$