Solve 2x/3+5x/3+2

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

Evaluate

$$\frac{7x}{3}+2$$

Short Solution Steps

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

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

Combine like terms in 2x+5x.

$$\frac{7x}{3}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{3}{3}.

$$\frac{7x}{3}+\frac{2\times 3}{3}$$

Since \frac{7x}{3} and \frac{2\times 3}{3} have the same denominator, add them by adding their numerators.

$$\frac{7x+2\times 3}{3}$$

Do the multiplications in 7x+2\times 3.

$$\frac{7x+6}{3}$$

Factor

$$\frac{7x+6}{3}$$

Solution Steps

Factor out \frac{1}{3}.

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

Consider 2x+5x+6. Multiply and combine like terms.

$$7x+6$$

Rewrite the complete factored expression.

$$\frac{7x+6}{3}$$