Question

Solve for the variable c in this equation.

a(b – c) = d

I'm confused can someone help me?

Answer 1

c = (ab -d) /a

Explanation:

a(b – c) = d

Divide each side by a

a/a(b – c) = d /a

b-c = d/a

Subtract b from each side

b-b-c = d/a -b

-c = d/a -b

Multiply by -1

-1*-c = -1(d/a -b)

c = -d/a +b

c = b - d/a

Get a common denominator

c = b*a/a -d/a

Combine over the common denominator

c = (ab -d) /a