SOLUTION: {{{ (4x-1)/(3x+6)-(x-1)/3=(x-1)/(x+2) }}}

Question 348220:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!

Factor

:
- =
Multiply by 3(x+2)
3(x+2)*-3(x+2)* = 3(x+2)*
Cancel the denominators:
(4x-1) - (x+2)(x-1) = 3(x-1)
:
4x - 1 - (x^2 + x - 2) = 3x - 3
Remove brackets
4x - 1 - x^2 - x + 2 = 3x - 3
Combine like terms on the left
-x^2 + 4x - x - 3x - 1 + 2 + 3 = 0
-x^2 + 4 = 0
-x^2 = -4
x^2 = +4
x = 2
:
:
Check solution in original problem

- =
Common denominator
- = ; confirms our solution of x = 2
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