Solve for x 20/5=(4x)/6

$\frac{20}{5} = \frac{4 x}{6}$

Rewrite the equation as $\frac{4 x}{6} = \frac{20}{5}$ .

$\frac{4 x}{6} = \frac{20}{5}$

Cancel the common factor of $4$ and $6$ .

Factor $2$ out of $4 x$ .

$\frac{2 (2 x)}{6} = \frac{20}{5}$

Cancel the common factors.

Factor $2$ out of $6$ .

$\frac{2 (2 x)}{2 (3)} = \frac{20}{5}$

Cancel the common factor.

$\frac{2 (2 x)}{2 \cdot 3} = \frac{20}{5}$

Rewrite the expression.

$\frac{2 x}{3} = \frac{20}{5}$

Multiply both sides by $3$ .

$\frac{2 x}{3} \cdot 3 = \frac{20}{5} \cdot 3$

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{2 x}{3} \cdot 3 = \frac{20}{5} \cdot 3$

Rewrite the expression.

$2 x = \frac{20}{5} \cdot 3$

Simplify the right side.

Simplify $\frac{20}{5} \cdot 3$ .

Divide $20$ by $5$ .

$2 x = 4 \cdot 3$

Multiply $4$ by $3$ .

$2 x = 12$

Divide each term in $2 x = 12$ by $2$ and simplify.

Divide each term in $2 x = 12$ by $2$ .

$\frac{2 x}{2} = \frac{12}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{12}{2}$

Divide $x$ by $1$ .

$x = \frac{12}{2}$

Simplify the right side.

Divide $12$ by $2$ .

$x = 6$