Solve 3/4x-1/2=1

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

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

Convert 1 to fraction \frac{2}{2}.

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

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

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

Add 2 and 1 to get 3.

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

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

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

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

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

Cancel out 3 in both numerator and denominator.

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

Divide 4 by 2 to get 2.

$$x=2$$