Solve for c a=b(c+d)

$a = b (c + d)$

Step 1

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

$b (c + d) = a$

Step 2

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

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

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

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

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

Divide $c + d$ by $1$ .

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

Step 3

Subtract $d$ from both sides of the equation.

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