Solve 1/4x+1/2=1/6x+2

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

Solve for x

$$x=18$$

Steps for Solving Linear Equation

Subtract \frac{1}{6}x from both sides.

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

Combine \frac{1}{4}x and -\frac{1}{6}x to get \frac{1}{12}x.

$$\frac{1}{12}x+\frac{1}{2}=2$$

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

$$\frac{1}{12}x=2-\frac{1}{2}$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{1}{12}x=\frac{4}{2}-\frac{1}{2}$$

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

$$\frac{1}{12}x=\frac{4-1}{2}$$

Subtract 1 from 4 to get 3.

$$\frac{1}{12}x=\frac{3}{2}$$

Multiply both sides by 12, the reciprocal of \frac{1}{12}.

$$x=\frac{3}{2}\times 12$$

Express \frac{3}{2}\times 12 as a single fraction.

$$x=\frac{3\times 12}{2}$$

Multiply 3 and 12 to get 36.

$$x=\frac{36}{2}$$

Divide 36 by 2 to get 18.

$$x=18$$