Solve 4/15-(x-3/5)=2/3

$$\frac{ 4 }{ 15 } -(x- \frac{ 3 }{ 5 } )= \frac{ 2 }{ 3 }$$

Solve for x

$$x=\frac{1}{5}=0.2$$

Steps for Solving Linear Equation

To find the opposite of x-\frac{3}{5}, find the opposite of each term.

$$\frac{4}{15}-x-\left(-\frac{3}{5}\right)=\frac{2}{3}$$

The opposite of -\frac{3}{5} is \frac{3}{5}.

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

Least common multiple of 15 and 5 is 15. Convert \frac{4}{15} and \frac{3}{5} to fractions with denominator 15.

$$\frac{4}{15}-x+\frac{9}{15}=\frac{2}{3}$$

Since \frac{4}{15} and \frac{9}{15} have the same denominator, add them by adding their numerators.

$$\frac{4+9}{15}-x=\frac{2}{3}$$

Add 4 and 9 to get 13.

$$\frac{13}{15}-x=\frac{2}{3}$$

Subtract \frac{13}{15} from both sides.

$$-x=\frac{2}{3}-\frac{13}{15}$$

Least common multiple of 3 and 15 is 15. Convert \frac{2}{3} and \frac{13}{15} to fractions with denominator 15.

$$-x=\frac{10}{15}-\frac{13}{15}$$

Since \frac{10}{15} and \frac{13}{15} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{10-13}{15}$$

Subtract 13 from 10 to get -3.

$$-x=\frac{-3}{15}$$

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

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

Multiply both sides by -1.

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