Solve for x qx+x=r

$q x + x = r$

Step 1

Factor $x$ out of $q x + x$ .

Factor $x$ out of $q x$ .

$x q + x = r$

Raise $x$ to the power of $1$ .

$x q + x = r$

Factor $x$ out of $x^{1}$ .

$x q + x \cdot 1 = r$

Factor $x$ out of $x q + x \cdot 1$ .

$x (q + 1) = r$

Step 2

Divide each term in $x (q + 1) = r$ by $q + 1$ and simplify.

Divide each term in $x (q + 1) = r$ by $q + 1$ .

$\frac{x (q + 1)}{q + 1} = \frac{r}{q + 1}$

Simplify the left side.

Cancel the common factor of $q + 1$ .

Cancel the common factor.

$\frac{x (q + 1)}{q + 1} = \frac{r}{q + 1}$

Divide $x$ by $1$ .

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