Solve for x 3/4x-5=3

$\frac{3}{4} x - 5 = 3$

Step 1

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

$\frac{3 x}{4} - 5 = 3$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Add $5$ to both sides of the equation.

$\frac{3 x}{4} = 3 + 5$

Add $3$ and $5$ .

$\frac{3 x}{4} = 8$

Step 3

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

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot 8$

Step 4

Simplify both sides of the equation.

Simplify the left side.

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

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot 8$

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot 8$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{4}{3} \cdot 8$

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot 8$

Rewrite the expression.

$x = \frac{4}{3} \cdot 8$

Simplify the right side.

Multiply $\frac{4}{3} \cdot 8$ .

Combine $\frac{4}{3}$ and $8$ .

$x = \frac{4 \cdot 8}{3}$

Multiply $4$ by $8$ .

$x = \frac{32}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{32}{3}$

Decimal Form:

$x = 10.\overline{6}$

Mixed Number Form:

$x = 10 \frac{2}{3}$