Solve 2/x+7/3x+x-1/x=

$$\frac { 2 } { x } + \frac { 7 } { 3 x } + \frac { x - 1 } { x } =$$

Evaluate

$$1+\frac{10}{3x}$$

Short Solution Steps

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

$$\frac{2\times 3}{3x}+\frac{7}{3x}+\frac{x-1}{x}$$

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

$$\frac{2\times 3+7}{3x}+\frac{x-1}{x}$$

Do the multiplications in 2\times 3+7.

$$\frac{6+7}{3x}+\frac{x-1}{x}$$

Do the calculations in 6+7.

$$\frac{13}{3x}+\frac{x-1}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3x and x is 3x. Multiply \frac{x-1}{x} times \frac{3}{3}.

$$\frac{13}{3x}+\frac{3\left(x-1\right)}{3x}$$

Since \frac{13}{3x} and \frac{3\left(x-1\right)}{3x} have the same denominator, add them by adding their numerators.

$$\frac{13+3\left(x-1\right)}{3x}$$

Do the multiplications in 13+3\left(x-1\right).

$$\frac{13+3x-3}{3x}$$

Combine like terms in 13+3x-3.

$$\frac{10+3x}{3x}$$

Expand

$$1+\frac{10}{3x}$$

Short Solution Steps

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

$$\frac{2\times 3}{3x}+\frac{7}{3x}+\frac{x-1}{x}$$

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

$$\frac{2\times 3+7}{3x}+\frac{x-1}{x}$$

Do the multiplications in 2\times 3+7.

$$\frac{6+7}{3x}+\frac{x-1}{x}$$

Do the calculations in 6+7.

$$\frac{13}{3x}+\frac{x-1}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3x and x is 3x. Multiply \frac{x-1}{x} times \frac{3}{3}.

$$\frac{13}{3x}+\frac{3\left(x-1\right)}{3x}$$

Since \frac{13}{3x} and \frac{3\left(x-1\right)}{3x} have the same denominator, add them by adding their numerators.

$$\frac{13+3\left(x-1\right)}{3x}$$

Do the multiplications in 13+3\left(x-1\right).

$$\frac{13+3x-3}{3x}$$

Combine like terms in 13+3x-3.

$$\frac{10+3x}{3x}$$