SOLUTION: I need help solving for x in the following problem: 3(cx-b)+c = ax+d/a The ax+d part is all over a. I have no idea where to start, but I know proportions can be used?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I need help solving for x in the following problem: 3(cx-b)+c = ax+d/a The ax+d part is all over a. I have no idea where to start, but I know proportions can be used?      Log On


   



Question 120331: I need help solving for x in the following problem: 3(cx-b)+c = ax+d/a
The ax+d part is all over a.
I have no idea where to start, but I know proportions can be used?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solving for x in the following problem: 3(cx-b)+c = ax+d/a
:
3(cx-b) + c = %28%28ax%2Bd%29%29%2Fa
:
Get rid of the denominator, multiply equation by a and you have:
3a(cx-b) + ac = ax + d
:
3acx - 3ab + ac = ax + d
:
Add 3ab to both sides, subtract ac from both sides
3acx = ax + 3ab + d - ac
:
subtract ax from both sides:
3acx - ax = 3ab - ac + d
:
Factor out x on the left and factor out a on the right
x(3ac - a) = a(3b - c) + d
:
Divide both sides by (3ac-a)
x = %28%28a%283b-c%29%2Bd%29%29%2F%28%283ac-a%29%29
:
x = %28a%283b-c%29%2Bd%29%2F%28a%283c-1%29%29