Solve 1/2(x-1/2)=1/8

$$\frac { 1 } { 2 } ( x - \frac { 1 } { 2 } ) = \frac { 1 } { 8 }$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

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

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

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

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

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

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

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

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

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

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

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

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

Add 1 and 2 to get 3.

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