Basic Math Examples

$a (b - c) = d$

Step 1

Divide each term in

$a (b - c) = d$ by

$a$ and simplify.

Tap for more steps...

Step 1.1

Divide each term in

$a (b - c) = d$ by

$a$ .

$\frac{a (b - c)}{a} = \frac{d}{a}$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Cancel the common factor of

$a$ .

Tap for more steps...

Step 1.2.1.1

Cancel the common factor.

$\frac{a (b - c)}{a} = \frac{d}{a}$

Step 1.2.1.2

Divide

$b - c$ by

$1$ .

$b - c = \frac{d}{a}$

Step 2

Subtract

$b$ from both sides of the equation.

$- c = \frac{d}{a} - b$

Step 3

Divide each term in

$- c = \frac{d}{a} - b$ by

$- 1$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in

$- c = \frac{d}{a} - b$ by

$- 1$ .

$\frac{- c}{- 1} = \frac{\frac{d}{a}}{- 1} + \frac{- b}{- 1}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{c}{1} = \frac{\frac{d}{a}}{- 1} + \frac{- b}{- 1}$

Step 3.2.2

Divide

$c$ by

$1$ .

$c = \frac{\frac{d}{a}}{- 1} + \frac{- b}{- 1}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Simplify each term.

Tap for more steps...

Step 3.3.1.1

Move the negative one from the denominator of

$\frac{\frac{d}{a}}{- 1}$ .

$c = - 1 \cdot \frac{d}{a} + \frac{- b}{- 1}$

Step 3.3.1.2

Rewrite

$- 1 \cdot \frac{d}{a}$ as

$- \frac{d}{a}$ .

$c = - \frac{d}{a} + \frac{- b}{- 1}$

Step 3.3.1.3

Dividing two negative values results in a positive value.

$c = - \frac{d}{a} + \frac{b}{1}$

Step 3.3.1.4

Divide

$b$ by

$1$ .

$c = - \frac{d}{a} + b$