Basic Math Examples

$a (b - c) = d$

Step 1

Divide each term in $a (b - c) = d$ by $a$ and simplify.

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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.

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Step 1.2.1

Cancel the common factor of $a$ .

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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.

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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.

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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.

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

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

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 $1$ .

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