SOLUTION: Hi, I can't seem to solve this problem: 4x-3/5=3x+6 I keep on getting different answers, like 93/3. Please help! I don't understand this, and I have a test on Tuesday.

Algebra ->  Equations -> SOLUTION: Hi, I can't seem to solve this problem: 4x-3/5=3x+6 I keep on getting different answers, like 93/3. Please help! I don't understand this, and I have a test on Tuesday.      Log On


   

Question 798447: Hi,
I can't seem to solve this problem:
4x-3/5=3x+6
I keep on getting different answers, like 93/3.
Please help! I don't understand this, and I have a test on Tuesday.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You wrote 4x-3%2F5=3x%2B6,
but maybe you meant
%284x-3%29%2F5=3x%2B6 that can be written as (4x-3)/5=3x+6

4x-3%2F5=3x%2B6 --> 4x=3x%2B6%2B3%2F5 --> 4x=3x%2B30%2F5%2B3%2F5 --> 4x=3x%2B33%2F5 (adding 3%2F5 to both sides of the equal sign)
4x=3x%2B33%2F5 --> 4x-3x=33%2F5 (subtracting 3x from both sides of the equal sign)
4x-3x=33%2F5 --> %284-3%29x=33%2F5 --> 1%2Ax=33%2F5 --> x=33%2F5

%284x-3%29%2F5=3x%2B6 --> 4x-3=5%283x%2B6%29 --> 4x-3=5%2A%283x%29%2B5%2A6 --> 4x-4=15x%2B30 (multiplying both sides of the equal sign times 5)
4x-4=15x%2B30 --> 4x-15x=30%2B4 (adding 4-15x to both sides)
4x-15x=30%2B4 --> %284-15%29x=34 --> -11x=34
-11x=34 --> x=34%2F%28-11%29 --> x=-34%2F11