Algebra Examples

$a = b (1 c - 1 d)$

Step 1

Rewrite the equation as $b (1 c - 1 d) = a$ .

$b (1 c - 1 d) = a$

Step 2

Multiply $c$ by $1$ .

$b (c - 1 d) = a$

Step 3

Divide each term in $b (c - 1 d) = a$ by $b$ and simplify.

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Step 3.1

Divide each term in $b (c - 1 d) = a$ by $b$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $b$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $c - 1 d$ by $1$ .

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

Step 3.2.2

Rewrite $- 1 d$ as $- d$ .

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

Step 4

Add $d$ to both sides of the equation.

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