Solve 1/3x-1/2=2

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

Solve for x

$$x = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Steps for Solving Linear Equation

Add \frac{1}{2} to both sides.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

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

Add 4 and 1 to get 5.

$$\frac{1}{3}x=\frac{5}{2}$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

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

Express \frac{5}{2}\times 3 as a single fraction.

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

Multiply 5 and 3 to get 15.

$$x=\frac{15}{2}$$