SOLUTION: Solve for x: 1 / 4+x + 1 / 2-x = 3/4 help please!

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Question 305522: Solve for x:
1 / 4+x + 1 / 2-x = 3/4
help please!
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%284%2Bx%29%2B1%2F%282-x%29=%283%2F4%29 multiply everything by %28%284%2Bx%29%282-x%29%29
cancel the appropiate groups

%282-x%29%281%29%29%2B%284%2Bx%29%281%29=%284%2Bx%29%282-x%29%283%2F4%29multiply everything by 4 to get rid of the fraction
%282-x%29%284%29%29%2B%284%2Bx%29%284%29=%284%2Bx%29%282-x%29%283%2F4%29%284%29
%288-4x%29%2B%2816%2B4x%29=%284%2Bx%29%282-x%29%283%2Fcross%284%29%29cross%284%29
%288-4x%29%2B%2816%2B4x%29=%284%2Bx%29%282-x%29%283%29
%288-4x%29%2B%2816%2B4x%29=%284%2Bx%29%286-3x%29foil
%288-4x%29%2B%2816%2B4x%29=%2824%2B6x-12x-3x%5E2%29add like terms on left side
24=24%2B6x-12x-3x%5E2 subtract 24
0=-6x-3x%5E2rewrite the equation
-3x%5E2-6x=0
-3x%28x%2B2%29=0
-3x=0x%2B2=0
x=0,-2