Solve for x 3/5x=12

$\frac{3}{5} x = 12$

Step 1

Multiply both sides of the equation by $\frac{5}{3}$ .

$\frac{5}{3} (\frac{3}{5} x) = \frac{5}{3} \cdot 12$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{3} (\frac{3}{5} x)$ .

Combine $\frac{3}{5}$ and $x$ .

$\frac{5}{3} \cdot \frac{3 x}{5} = \frac{5}{3} \cdot 12$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 x}{5} = \frac{5}{3} \cdot 12$

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{5}{3} \cdot 12$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{5}{3} \cdot 12$

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{5}{3} \cdot 12$

Rewrite the expression.

$x = \frac{5}{3} \cdot 12$

Simplify the right side.

Simplify $\frac{5}{3} \cdot 12$ .

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

$x = \frac{5}{3} \cdot (3 (4))$

Cancel the common factor.

$x = \frac{5}{3} \cdot (3 \cdot 4)$

Rewrite the expression.

$x = 5 \cdot 4$

Multiply $5$ by $4$ .

$x = 20$