Solve 5/8+1/2x=3/4

$$\frac { 5 } { 8 } + \frac { 1 } { 2 } x = \frac { 3 } { 4 }$$

Solve for x

$$x=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

Subtract \frac{5}{8} from both sides.

$$\frac{1}{2}x=\frac{3}{4}-\frac{5}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{5}{8} to fractions with denominator 8.

$$\frac{1}{2}x=\frac{6}{8}-\frac{5}{8}$$

Since \frac{6}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}x=\frac{6-5}{8}$$

Subtract 5 from 6 to get 1.

$$\frac{1}{2}x=\frac{1}{8}$$

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

$$x=\frac{1}{8}\times 2$$

Multiply \frac{1}{8} and 2 to get \frac{2}{8}.

$$x=\frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

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