Solve for x 3/4x=6

$\frac{3}{4} x = 6$

Step 1

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} (\frac{3}{4} x) = \frac{4}{3} \cdot 6$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{3} (\frac{3}{4} x)$ .

Combine $\frac{3}{4}$ and $x$ .

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot 6$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot 6$

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot 6$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{4}{3} \cdot 6$

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot 6$

Rewrite the expression.

$x = \frac{4}{3} \cdot 6$

Simplify the right side.

Simplify $\frac{4}{3} \cdot 6$ .

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$x = \frac{4}{3} \cdot (3 (2))$

Cancel the common factor.

$x = \frac{4}{3} \cdot (3 \cdot 2)$

Rewrite the expression.

$x = 4 \cdot 2$

Multiply $4$ by $2$ .

$x = 8$