Solve 1/2x-2=1/3

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

Solve for x

$$x = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667$$

Steps for Solving Linear Equation

Add 2 to both sides.

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

Convert 2 to fraction \frac{6}{3}.

$$\frac{1}{2}x=\frac{1}{3}+\frac{6}{3}$$

Since \frac{1}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}x=\frac{1+6}{3}$$

Add 1 and 6 to get 7.

$$\frac{1}{2}x=\frac{7}{3}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=\frac{7}{3}\times 2$$

Express \frac{7}{3}\times 2 as a single fraction.

$$x=\frac{7\times 2}{3}$$

Multiply 7 and 2 to get 14.

$$x=\frac{14}{3}$$