Finite Math Examples

$p (x + y) = q x - p$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $q x$ from both sides of the equation.

$p (x + y) - q x = - p$

Step 1.2

Add $p$ to both sides of the equation.

$p (x + y) - q x + p = 0$

Step 2

Factor $- 1$ out of $p (x + y) - q x + p$ .

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Step 2.1

Move $p (x + y)$ .

$- q x + p + p (x + y) = 0$

Step 2.2

Factor $- 1$ out of $- q x$ .

$- (q x) + p + p (x + y) = 0$

Step 2.3

Factor $- 1$ out of $p$ .

$- (q x) - 1 (- p) + p (x + y) = 0$

Step 2.4

Factor $- 1$ out of $p (x + y)$ .

$- (q x) - 1 (- p) - 1 (- p (x + y)) = 0$

Step 2.5

Factor $- 1$ out of $- (q x) - 1 (- p)$ .

$- (q x - p) - 1 (- p (x + y)) = 0$

Step 2.6

Factor $- 1$ out of $- (q x - p) - 1 (- p (x + y))$ .

$- (q x - p - p (x + y)) = 0$

Step 3

Apply the distributive property.

$- (q x - p - p x - p y) = 0$