Solve for x z=m-x

$z = m - x$

Step 1

Rewrite the equation as $m - x = z$ .

$m - x = z$

Step 2

Subtract $m$ from both sides of the equation.

$- x = z - m$

Step 3

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

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

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{z}{- 1}$ .

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

Rewrite $- 1 \cdot z$ as $- z$ .

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

Dividing two negative values results in a positive value.

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

Divide $m$ by $1$ .

$x = - z + m$