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

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

Solve for x

$$x = -\frac{22}{3} = -7\frac{1}{3} \approx -7.333333333$$

Steps for Solving Linear Equation

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

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

Add 5 and 2 to get 7.

$$x+\frac{7}{3}=-5$$

Subtract \frac{7}{3} from both sides.

$$x=-5-\frac{7}{3}$$

Convert -5 to fraction -\frac{15}{3}.

$$x=-\frac{15}{3}-\frac{7}{3}$$

Since -\frac{15}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-15-7}{3}$$

Subtract 7 from -15 to get -22.

$$x=-\frac{22}{3}$$