Solve for x xm=x+z ; for x

$x m = x + z$ ; for $x$

Step 1

Subtract $x$ from both sides of the equation.

$x m - x = z$

Step 2

Factor $x$ out of $x m - x$ .

Factor $x$ out of $x m$ .

$x (m) - x = z$

Factor $x$ out of $- x$ .

$x (m) + x \cdot - 1 = z$

Factor $x$ out of $x (m) + x \cdot - 1$ .

$x (m - 1) = z$

Step 3

Divide each term in $x (m - 1) = z$ by $m - 1$ and simplify.

Divide each term in $x (m - 1) = z$ by $m - 1$ .

$\frac{x (m - 1)}{m - 1} = \frac{z}{m - 1}$

Simplify the left side.

Cancel the common factor of $m - 1$ .

Cancel the common factor.

$\frac{x (m - 1)}{m - 1} = \frac{z}{m - 1}$

Divide $x$ by $1$ .

$x = \frac{z}{m - 1}$