SOLUTION: Please help me solve this: {{{(3x+10)/(7x-4)-(x)/(4x+3)}}}

Question 79010: Please help me solve this:

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

:
Since you have a single fraction on each side of the = sign, you can cross multiply:
:
(3x+10)*(4x+3) = x(7x-4)
:
12x^2 + 49x + 30 = 7x^2 - 4x
:
12x^2 - 7x^2 + 49x + 4x + 30 = 0
:
5x^2 + 53x + 30 = 0
:
Factors to:
(5x + 3)(x + 10) = 0
:
x = -10
and
5x = -3
x = -3/5
:
:
Check solution using x = -.6

=
:
-1 = -1; confirms x = -3/5; you can check it with x = -10
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