Solve 1/4+2x=1/2

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

Solve for x

$$x=\frac{1}{8}=0.125$$

Steps for Solving Linear Equation

Subtract \frac{1}{4} from both sides.

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

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

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

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

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

Subtract 1 from 2 to get 1.

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

Divide both sides by 2.

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

Express \frac{\frac{1}{4}}{2} as a single fraction.

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

Multiply 4 and 2 to get 8.

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