Solve for x 2/9x=2/3

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

Step 1

Multiply both sides of the equation by $\frac{9}{2}$ .

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

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{9}{2} (\frac{2}{9} x)$ .

Combine $\frac{2}{9}$ and $x$ .

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

Cancel the common factor of $9$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{2} (2 x) = \frac{9}{2} \cdot \frac{2}{3}$

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) = \frac{9}{2} \cdot \frac{2}{3}$

Cancel the common factor.

$\frac{1}{2} (2 x) = \frac{9}{2} \cdot \frac{2}{3}$

Rewrite the expression.

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

Simplify the right side.

Simplify $\frac{9}{2} \cdot \frac{2}{3}$ .

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$x = 3$