Solve 3x+2+2/3=5

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

Solve for x

$$x=\frac{7}{9}\approx 0.777777778$$

Steps for Solving Linear Equation

Convert 2 to fraction \frac{6}{3}.

$$3x+\frac{6}{3}+\frac{2}{3}=5$$

Since \frac{6}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$3x+\frac{6+2}{3}=5$$

Add 6 and 2 to get 8.

$$3x+\frac{8}{3}=5$$

Subtract \frac{8}{3} from both sides.

$$3x=5-\frac{8}{3}$$

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

$$3x=\frac{15}{3}-\frac{8}{3}$$

Since \frac{15}{3} and \frac{8}{3} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{15-8}{3}$$

Subtract 8 from 15 to get 7.

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

Divide both sides by 3.

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

Express \frac{\frac{7}{3}}{3} as a single fraction.

$$x=\frac{7}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$x=\frac{7}{9}$$