Solve 1/4x+1/2=3

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

Solve for x

$$x=10$$

Steps for Solving Linear Equation

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

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

Convert 3 to fraction \frac{6}{2}.

$$\frac{1}{4}x=\frac{6}{2}-\frac{1}{2}$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{4}x=\frac{6-1}{2}$$

Subtract 1 from 6 to get 5.

$$\frac{1}{4}x=\frac{5}{2}$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$x=\frac{5}{2}\times 4$$

Express \frac{5}{2}\times 4 as a single fraction.

$$x=\frac{5\times 4}{2}$$

Multiply 5 and 4 to get 20.

$$x=\frac{20}{2}$$

Divide 20 by 2 to get 10.

$$x=10$$