Solve r/x+r-x-1/x+r=

$$\frac { r } { x + r } - \frac { x - 1 } { x + r } =$$

Evaluate

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

Short Solution Steps

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

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

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

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

Expand

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

Short Solution Steps

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

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

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

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