Solve 3/4-3/8x=1/2-1/2x

$$\frac { 3 } { 4 } - \frac { 3 } { 8 } x = \frac { 1 } { 2 } - \frac { 1 } { 2 } x$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$\frac{3}{4}-\frac{3}{8}x+\frac{1}{2}x=\frac{1}{2}$$

Combine -\frac{3}{8}x and \frac{1}{2}x to get \frac{1}{8}x.

$$\frac{3}{4}+\frac{1}{8}x=\frac{1}{2}$$

Subtract \frac{3}{4} from both sides.

$$\frac{1}{8}x=\frac{1}{2}-\frac{3}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{1}{8}x=\frac{2}{4}-\frac{3}{4}$$

Since \frac{2}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{8}x=\frac{2-3}{4}$$

Subtract 3 from 2 to get -1.

$$\frac{1}{8}x=-\frac{1}{4}$$

Multiply both sides by 8, the reciprocal of \frac{1}{8}.

$$x=-\frac{1}{4}\times 8$$

Express -\frac{1}{4}\times 8 as a single fraction.

$$x=\frac{-8}{4}$$

Divide -8 by 4 to get -2.

$$x=-2$$