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

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

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Subtract 1x from both sides.

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

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

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

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

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

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.

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

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

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

Subtract 2 from 1 to get -1.

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

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$x=-\frac{1}{4}\left(-2\right)$$

Express -\frac{1}{4}\left(-2\right) as a single fraction.

$$x=\frac{-\left(-2\right)}{4}$$

Multiply -1 and -2 to get 2.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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