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

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

Evaluate

$$-1+\frac{2}{x}$$

Short Solution Steps

Since \frac{1}{x} and \frac{2-x}{x} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in 1-\left(2-x\right).

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

Combine like terms in 1-2+x.

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

Since \frac{-1+x}{x} and \frac{3-2x}{x} have the same denominator, add them by adding their numerators.

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

Combine like terms in -1+x+3-2x.

$$\frac{2-x}{x}$$

Expand

$$-1+\frac{2}{x}$$

Short Solution Steps

Since \frac{1}{x} and \frac{2-x}{x} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in 1-\left(2-x\right).

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

Combine like terms in 1-2+x.

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

Since \frac{-1+x}{x} and \frac{3-2x}{x} have the same denominator, add them by adding their numerators.

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

Combine like terms in -1+x+3-2x.

$$\frac{2-x}{x}$$