Solve 7x+3/10=13/20

$$7 x + \frac { 3 } { 10 } = \frac { 13 } { 20 }$$

Solve for x

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

Steps for Solving Linear Equation

Subtract \frac{3}{10} from both sides.

$$7x=\frac{13}{20}-\frac{3}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{13}{20} and \frac{3}{10} to fractions with denominator 20.

$$7x=\frac{13}{20}-\frac{6}{20}$$

Since \frac{13}{20} and \frac{6}{20} have the same denominator, subtract them by subtracting their numerators.

$$7x=\frac{13-6}{20}$$

Subtract 6 from 13 to get 7.

$$7x=\frac{7}{20}$$

Divide both sides by 7.

$$x=\frac{\frac{7}{20}}{7}$$

Express \frac{\frac{7}{20}}{7} as a single fraction.

$$x=\frac{7}{20\times 7}$$

Cancel out 7 in both numerator and denominator.

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