Solve 1/2x+1/4=1/3x+5/4

$$\frac{ 1 }{ 2 } x+ \frac{ 1 }{ 4 } = \frac{ 1 }{ 3 } x+ \frac{ 5 }{ 4 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Subtract \frac{1}{3}x from both sides.

$$\frac{1}{2}x+\frac{1}{4}-\frac{1}{3}x=\frac{5}{4}$$

Combine \frac{1}{2}x and -\frac{1}{3}x to get \frac{1}{6}x.

$$\frac{1}{6}x+\frac{1}{4}=\frac{5}{4}$$

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

$$\frac{1}{6}x=\frac{5}{4}-\frac{1}{4}$$

Since \frac{5}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{6}x=\frac{5-1}{4}$$

Subtract 1 from 5 to get 4.

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

Divide 4 by 4 to get 1.

$$\frac{1}{6}x=1$$

Multiply both sides by 6, the reciprocal of \frac{1}{6}.

$$x=1\times 6$$

Multiply 1 and 6 to get 6.

$$x=6$$