Solve for x x2/3=25

$x \frac{2}{3} = 25$

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

$\frac{x \cdot 2}{3} = 25$

Multiply each term in $\frac{x \cdot 2}{3} = 25$ by $\frac{3}{2}$ to eliminate the fractions.

Multiply each term in $\frac{x \cdot 2}{3} = 25$ by $\frac{3}{2}$ .

$\frac{x \cdot 2}{3} \cdot \frac{3}{2} = 25 (\frac{3}{2})$

Simplify the left side.

Cancel the common factor of $2$ .

Factor $2$ out of $x \cdot 2$ .

$\frac{2 \cdot x}{3} \cdot \frac{3}{2} = 25 (\frac{3}{2})$

Cancel the common factor.

$\frac{2 \cdot x}{3} \cdot \frac{3}{2} = 25 (\frac{3}{2})$

Rewrite the expression.

$\frac{x}{3} \cdot 3 = 25 (\frac{3}{2})$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{x}{3} \cdot 3 = 25 (\frac{3}{2})$

Rewrite the expression.

$x = 25 (\frac{3}{2})$

Simplify the right side.

Multiply $25 (\frac{3}{2})$ .

Combine $25$ and $\frac{3}{2}$ .

$x = \frac{25 \cdot 3}{2}$

Multiply $25$ by $3$ .

$x = \frac{75}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{75}{2}$

Decimal Form:

$x = 37.5$

Mixed Number Form:

$x = 37 \frac{1}{2}$