Algebra Examples

$z = y - x - m$

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.

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Step 2.1

Subtract $y$ from both sides of the equation.

$- x - m = z - y$

Step 2.2

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.

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Step 3.1

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

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

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

Step 3.2.2

Divide $x$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

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

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

Step 3.3.1.2

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

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

Step 3.3.1.3

Dividing two negative values results in a positive value.

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

Step 3.3.1.4

Divide $y$ by $1$ .

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

Step 3.3.1.5

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

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

Step 3.3.1.6

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

$x = - z + y - m$