Solve x+4/15=2/3+2/5

$$x + \frac { 4 } { 15 } = \frac { 2 } { 3 } + \frac { 2 } { 5 }$$

Solve for x

$$x=\frac{4}{5}=0.8$$

Steps for Solving Linear Equation

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{2}{5} to fractions with denominator 15.

$$x+\frac{4}{15}=\frac{10}{15}+\frac{6}{15}$$

Since \frac{10}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$x+\frac{4}{15}=\frac{10+6}{15}$$

Add 10 and 6 to get 16.

$$x+\frac{4}{15}=\frac{16}{15}$$

Subtract \frac{4}{15} from both sides.

$$x=\frac{16}{15}-\frac{4}{15}$$

Since \frac{16}{15} and \frac{4}{15} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{16-4}{15}$$

Subtract 4 from 16 to get 12.

$$x=\frac{12}{15}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

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