Solve 1/3(x+5/3)=2/9?

$$\frac { 1 } { 3 } ( x + \frac { 5 } { 3 } ) = \frac { 2 } { 9 } ?$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x+\frac{5}{3}=\frac{2}{9}\times 3$$

Express \frac{2}{9}\times 3 as a single fraction.

$$x+\frac{5}{3}=\frac{2\times 3}{9}$$

Multiply 2 and 3 to get 6.

$$x+\frac{5}{3}=\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

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

Subtract \frac{5}{3} from both sides.

$$x=\frac{2}{3}-\frac{5}{3}$$

Since \frac{2}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{2-5}{3}$$

Subtract 5 from 2 to get -3.

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

Divide -3 by 3 to get -1.

$$x=-1$$