Solve for x 4/3x-1/2=0

$\frac{4}{3} x - \frac{1}{2} = 0$

Step 1

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

$\frac{4 x}{3} - \frac{1}{2} = 0$

Step 2

Add $\frac{1}{2}$ to both sides of the equation.

$\frac{4 x}{3} = \frac{1}{2}$

Step 3

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

$\frac{3}{4} \cdot \frac{4 x}{3} = \frac{3}{4} \cdot \frac{1}{2}$

Step 4

Simplify both sides of the equation.

Simplify the left side.

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

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{4} \cdot \frac{4 x}{3} = \frac{3}{4} \cdot \frac{1}{2}$

Rewrite the expression.

$\frac{1}{4} (4 x) = \frac{3}{4} \cdot \frac{1}{2}$

Cancel the common factor of $4$ .

Factor $4$ out of $4 x$ .

$\frac{1}{4} (4 (x)) = \frac{3}{4} \cdot \frac{1}{2}$

Cancel the common factor.

$\frac{1}{4} (4 x) = \frac{3}{4} \cdot \frac{1}{2}$

Rewrite the expression.

$x = \frac{3}{4} \cdot \frac{1}{2}$

Simplify the right side.

Multiply $\frac{3}{4} \cdot \frac{1}{2}$ .

Multiply $\frac{3}{4}$ by $\frac{1}{2}$ .

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

Multiply $4$ by $2$ .

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.375$