Solve 3/4x-1/2=2

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

Solve for x

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Steps for Solving Linear Equation

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

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

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

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

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

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

Add 4 and 1 to get 5.

$$\frac{3}{4}x=\frac{5}{2}$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=\frac{5}{2}\times \frac{4}{3}$$

Multiply \frac{5}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 4}{2\times 3}$$

Do the multiplications in the fraction \frac{5\times 4}{2\times 3}.

$$x=\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

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