Solve x=1/2x+3/4

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

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Subtract \frac{1}{2}x from both sides.

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

Combine x and -\frac{1}{2}x to get \frac{1}{2}x.

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

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

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

Express \frac{3}{4}\times 2 as a single fraction.

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

Multiply 3 and 2 to get 6.

$$x=\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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