Solve for x x/(2/3)=6

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

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

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

Simplify both sides of the equation.

Simplify the left side.

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

Multiply the numerator by the reciprocal of the denominator.

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

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

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $3$ .

Factor $3$ out of $x \cdot 3$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

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

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$x = 2 \cdot 2$

Multiply $2$ by $2$ .

$x = 4$