# How do you solve for c in #a(b – c) = d#?

##### 2 Answers

Mar 23, 2018

#### Explanation:

Given:

Divide by

Subtract

Reverse signs.

Mar 23, 2018

#### Explanation:

#"divide both sides by a"#

#cancel(a)/cancel(a)(b-c)=d/a#

#rArrb-c=d/a#

#"subtract b from both sides"#

#cancel(b)-cancel(b)-c=d/a-b#

#rArr-c=d/a-b#

#"multiply all terms on both sides by "-1#

#rArrc=-d/a+b#

#rArrc=b-d/a#