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# Algebra/Algebra Help

Question
Hi Scott,

I am having trouble with an algebra problem and would appreciate  some help and explanation. Here's the problem:

Solve for x; [(a-c*x)/(b+d*x)]+a=0

Thanks,
Sam

Since the term with an a has no x in it, subtract it from both sides.
This gives [(a - cx)/(b + dx)] = -a.

To eliminate fractions, multiply both sides by b + dx.
This gives a - cx = -a(b + dx) => a - cx = -ab -adx.

Move the x terms to the left and the constants (terms without x) to the right.
That means add adx - a to both sides.  The result is
adx - cx = -ab - a.

On the left, factor out the x, and on the right, factor out the negative sign.

The last thing that needs to be done is to divide both sides by (ad-c).
.

Algebra

Volunteer

#### Scott A Wilson

##### Expertise

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

##### Experience

I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

Publications
Documents at Boeing in assistance on the manufacturiing floor.

Education/Credentials
MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

Awards and Honors
Both my BS and MS degrees were given with honors.

Past/Present Clients
Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.