SOLUTION: Solve and check the equation -5/6x - (x-1/2) = 1/4(x + 1)

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Question 72898: Solve and check the equation
-5/6x - (x-1/2) = 1/4(x + 1)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Solve and check the equation
-5/6x - (x-1/2) = 1/4(x + 1)
%28-5%2F6%29x-%28x-1%2F2%29=%281%2F4%29%28x%2B1%29
-5x%2F6-x%2B1%2F2=x%2F4%2B1%2F4 The LCD is 12, clear the fractions by multiplying each term by 12.
12%28-5x%29%2F6-12x%2B12%2F2=12x%2F4%2B12%2F4
2%28-5x%29-12x%2B6=3x%2B3
-10x-12x%2B6=3x%2B3
-22x%2B6=3x%2B3
-22x-3x%2B6=3x-3x%2B3
-25x%2B6=3
-25x%2B6-6=3-6
-25x=-3
-25x%2F-25=-3%2F-25
highlight%28x=3%2F25%29
Check:
%28-5%2F6%29%283%2F25%29-%283%2F25-1%2F2%29=%281%2F4%29%283%2F25%2B1%29
-1%2F2%29%281%2F5%29-3%2F25%2B1%2F2=3%2F100%2B1%2F4
-1%2F10-3%2F25%2B1%2F2=3%2F100%2B1%2F4
-5%2F50-6%2F50%2B25%2F50=3%2F100%2B25%2F100
14%2F50=28%2F100
7%2F25=7%2F25
Happy Calculating!!!!