Question 83702: I would like to check my solutions.
Solve the equation and show work (factoring etc...)
x / 2x + 2 = (-2x/4x + 4) + (2x-3/x+1) Answer by lekelly(20) (Show Source):
You can put this solution on YOUR website! Here goes:
(x/(2x+2))=((-2x)/(4x+4))+((2x+3)/(x+1))
step 1:
Simplify:
(x/(2(x+1)))=((-2x)/(4(x+1)))+((2x+3)/(x+1))
Step 2:
Cancel like terms:
(x/(2(x+1)))=((-x)/(2(x+1)))+((2x+3)/(x+1))
step 3:
greatest common denominator-multiply last quotient by 2 to make GCD.
(x/(2(x+1)))=((-x)/(2(x+1)))+((4x+6)/(2(x+1))
step 4:
gather all quotients on one side of equal signs:
0=((-x)/(2(x+1)))+((4x+6)/(2(x+1))-((x)/(2(x+1)))
step 5:
Simplify:
(-x+(4x+6)-x)/(2(x+1))
step 6:
Solve
(2x+6)/(2(x+1)
step 7:
Simplify:
(2(x+3))/(2(x+1))
Step 8:
Cancel 2s to get your final answer of:
(x+3)/(x+1)
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