SOLUTION: Hi there. I am asked to solve for X in the following equation. I am confused as to how to isolate X when it is on the top and bottom of one side. 4rs=(3rX-s)/(2-3X) I feel th

Algebra ->  Expressions-with-variables -> SOLUTION: Hi there. I am asked to solve for X in the following equation. I am confused as to how to isolate X when it is on the top and bottom of one side. 4rs=(3rX-s)/(2-3X) I feel th      Log On


   

Question 316255: Hi there. I am asked to solve for X in the following equation. I am confused as to how to isolate X when it is on the top and bottom of one side.
4rs=(3rX-s)/(2-3X)
I feel that the first step would be to multiply by 2-3X on both sides, and divide the other terms over, but whatever I try seems to not work. The answer is:
X=
9s(8r+1))/(3r(4s+1))
I would genuinely appreciate any help you could give me! THANKS!
~hbanana
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4rs=%283rx-s%29%2F%282-3x%29+
Your first step is correct.
4rs%282-3x%29=3rx-s+
8rs-12rsx=3rx-s
Now gather all x-terms on the left, everything else on the right.
-12rsx-3rx=-s-8rs
Pull the x out of the x-terms.
x%28-12rs-3r%29=-s-8rs
Divide by the left hand expression,
x=%28-s-8rs%29%2F%28-12rs-3r%29
x=%28s%2B8rs%29%2F%283r%2B12rs%29
x=%28s%288r%2B1%29%29%2F%283r%284s%2B1%29%29
I don't get the 9 term that you have in your solution.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I'm pretty sure you have a typo in the answer that you provided. That leading 9 needs to be a "(" instead.



Like you said, multiply by the denominator in the RHS:



Use the distributive property:



Add and to both sides and then multiply both sides by



Factor an out of the LHS:



Multiply both sides by



Which is a perfectly good answer just like it is, but in order to match your answer, do a little factoring in the RHS:



John