SOLUTION: solve for x: 2/x+4 - 1/x+3 = 1 - 2/x^2+7x+12 please help homework for tomorrow

Question 979580: solve for x:
2/x+4 - 1/x+3 = 1 - 2/x^2+7x+12
please help homework for tomorrow
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
solve for x:
2/x+4 - 1/x+3 = 1 - 2/x^2+7x+12
-------------
Find a common denominator.
x^2+7x+12 = (x+4)*(x+3) so that will work.
----
2(x+3)/DEN - (x+4)/DEN = (x^2+7x+12 - 2)/DEN
Multiply thru by the DEN
2x+6 -x-4 = x^2+7x+10
x+2 = x^2+7x+10
x^2 + 6x + 8 = 0
(x+2)*(x+4) = 0
x = -2
------------
x = -4
*********** x=-4 make the DEN of the 1st term zero, so it's not allowed.

RELATED QUESTIONS
1.|7x-1|=15 2.5(x-1)+4=2(x+3)-1 Help me for my homework I don't know how to solve this... (answered by stanbon)

Solve for x: 1 / 4+x + 1 / 2-x = 3/4 help... (answered by JBarnum)

Homework problem. Help!! solve for x 4 over (x-4)^2 = 1... (answered by Mathtut)

Solve for x: 4 (x+2)+1= 7x -... (answered by checkley77)

Please help me solve a few of my homework problems from my CNM professor; 1.... (answered by jim_thompson5910)

Solve for x: x^(2/3) -7x^(1/3) +... (answered by CubeyThePenguin)

Please help factor my homework question. thanks! (3x+2)(x-3)= 7x-1 (answered by bucky,chitra)

48. x/(x-2)-(x+1)/x=8/(x^2-2x) 56. 5/(x+6)+2/(x^2+7x+6)=3/(x+1) Will someone (answered by edjones)

Evaluate each algebraic expression for the give value of the variable. A x^2-2x+3... (answered by justsmilexx)