SOLUTION: Solve for x. (a + x) / b - (c - x) / d = a / b lcd = bd (a + x)* bd - (c - x) * db = abd How do I proceed ? Non-homework.

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Question 1043749: Solve for x.
(a + x) / b - (c - x) / d = a / b
lcd = bd
(a + x)* bd - (c - x) * db = abd
How do I proceed ?
Non-homework.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
What do you want from the equation? Solve it for x? Anything else?

Here is how to begin:
You identified correctly the lowest common denominator. Multiply the members by this common denominator (which will use Multiplication Property of Equality). You began that. You also made a mistakes in the both members.

What should be next? Distributive Property!

The rest should be straightforward and not at all complicated.

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

Solve for x.
(a + x) / b - (c - x) / d = a / b
lcd = bd
(a + x)* bd - (c - x) * db = abd
How do I proceed ?
Non-homework.

It makes no sense for you to proceed because you're incorrect

------- Multiplying by LCD, bd
ad + dx - bc + bx = ad
dx + bx = ad - ad + bc
x(d + b) = bc