Solve 1/4+x=2/10

$$\frac { 1 } { 4 } + x = \frac { 2 } { 10 }$$

Solve for x

$$x=-\frac{1}{20}=-0.05$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

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

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

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

Least common multiple of 5 and 4 is 20. Convert \frac{1}{5} and \frac{1}{4} to fractions with denominator 20.

$$x=\frac{4}{20}-\frac{5}{20}$$

Since \frac{4}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{4-5}{20}$$

Subtract 5 from 4 to get -1.

$$x=-\frac{1}{20}$$