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

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

Solve for x

$$x=18$$

Steps for Solving Linear Equation

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

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

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

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

Add 2 to both sides.

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

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

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

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

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

Add -1 and 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.

$$x=18$$