Solve 1/3x-1/2=1/4x+1

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

Solve for x

$$x=18$$

Steps for Solving Linear Equation

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

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

Combine \frac{1}{3}x and -\frac{1}{4}x to get \frac{1}{12}x.

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

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

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

Convert 1 to fraction \frac{2}{2}.

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

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

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

Add 2 and 1 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.

$$x=18$$