Solve for x z=y-x-m

$z = y - x - m$

Step 1

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

$y - x - m = z$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Subtract $y$ from both sides of the equation.

$- x - m = z - y$

Add $m$ to both sides of the equation.

$- x = z - y + m$

Step 3

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

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

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Simplify each term.

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

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

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

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

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

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

$x = - z + y - 1 \cdot m$

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

$x = - z + y - m$