Solve x/3+x-2/3+4x/9

$$\frac { x } { 3 } + \frac { x - 2 } { 3 } + \frac { 4 x } { 9 }$$

Evaluate

$$\frac{10x}{9}-\frac{2}{3}$$

Short Solution Steps

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

$$\frac{x+x-2}{3}+\frac{4x}{9}$$

Combine like terms in x+x-2.

$$\frac{2x-2}{3}+\frac{4x}{9}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 9 is 9. Multiply \frac{2x-2}{3} times \frac{3}{3}.

$$\frac{3\left(2x-2\right)}{9}+\frac{4x}{9}$$

Since \frac{3\left(2x-2\right)}{9} and \frac{4x}{9} have the same denominator, add them by adding their numerators.

$$\frac{3\left(2x-2\right)+4x}{9}$$

Do the multiplications in 3\left(2x-2\right)+4x.

$$\frac{6x-6+4x}{9}$$

Combine like terms in 6x-6+4x.

$$\frac{10x-6}{9}$$

Expand

$$\frac{10x}{9}-\frac{2}{3}$$

Short Solution Steps

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

$$\frac{x+x-2}{3}+\frac{4x}{9}$$

Combine like terms in x+x-2.

$$\frac{2x-2}{3}+\frac{4x}{9}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 9 is 9. Multiply \frac{2x-2}{3} times \frac{3}{3}.

$$\frac{3\left(2x-2\right)}{9}+\frac{4x}{9}$$

Since \frac{3\left(2x-2\right)}{9} and \frac{4x}{9} have the same denominator, add them by adding their numerators.

$$\frac{3\left(2x-2\right)+4x}{9}$$

Do the multiplications in 3\left(2x-2\right)+4x.

$$\frac{6x-6+4x}{9}$$

Combine like terms in 6x-6+4x.

$$\frac{10x-6}{9}$$