Solve 2/5(x-1/3+1)+x

$$2 / 5 ( \frac { x - 1 } { 3 } + 1 ) + x$$

Evaluate

$$\frac{17x+4}{15}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{3}{3}.

$$\frac{2}{5}\left(\frac{x-1}{3}+\frac{3}{3}\right)+x$$

Since \frac{x-1}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

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

Combine like terms in x-1+3.

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

Multiply \frac{2}{5} times \frac{x+2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(x+2\right)}{5\times 3}+x$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{5\times 3}{5\times 3}.

$$\frac{2\left(x+2\right)}{5\times 3}+\frac{x\times 5\times 3}{5\times 3}$$

Since \frac{2\left(x+2\right)}{5\times 3} and \frac{x\times 5\times 3}{5\times 3} have the same denominator, add them by adding their numerators.

$$\frac{2\left(x+2\right)+x\times 5\times 3}{5\times 3}$$

Do the multiplications in 2\left(x+2\right)+x\times 5\times 3.

$$\frac{2x+4+15x}{5\times 3}$$

Combine like terms in 2x+4+15x.

$$\frac{17x+4}{5\times 3}$$

Expand 5\times 3.

$$\frac{17x+4}{15}$$

Expand

$$\frac{17x+4}{15}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{3}{3}.

$$\frac{2}{5}\left(\frac{x-1}{3}+\frac{3}{3}\right)+x$$

Since \frac{x-1}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

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

Combine like terms in x-1+3.

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

Multiply \frac{2}{5} times \frac{x+2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(x+2\right)}{5\times 3}+x$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{5\times 3}{5\times 3}.

$$\frac{2\left(x+2\right)}{5\times 3}+\frac{x\times 5\times 3}{5\times 3}$$

Since \frac{2\left(x+2\right)}{5\times 3} and \frac{x\times 5\times 3}{5\times 3} have the same denominator, add them by adding their numerators.

$$\frac{2\left(x+2\right)+x\times 5\times 3}{5\times 3}$$

Do the multiplications in 2\left(x+2\right)+x\times 5\times 3.

$$\frac{2x+4+15x}{5\times 3}$$

Combine like terms in 2x+4+15x.

$$\frac{17x+4}{5\times 3}$$

Expand 5\times 3.

$$\frac{17x+4}{15}$$