Solve 2/3x+5/3=-1/3

$$\frac { 2 } { 3 } x + \frac { 5 } { 3 } = - \frac { 1 } { 3 }$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

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

$$\frac{2}{3}x=-\frac{1}{3}-\frac{5}{3}$$

Since -\frac{1}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}x=\frac{-1-5}{3}$$

Subtract 5 from -1 to get -6.

$$\frac{2}{3}x=\frac{-6}{3}$$

Divide -6 by 3 to get -2.

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

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

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

Multiply -2 times \frac{3}{2}.

$$x=-3$$