SOLUTION: Solve for x. 3(2x - 3) + 4(2 - x) = 0

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Question 755917: Solve for x.
3(2x - 3) + 4(2 - x) = 0
Answer by knighty2002uk(39) About Me  (Show Source):
You can put this solution on YOUR website!
Begin by expanding all the brackets
%286x-9%29%2B%288-4x%29
then equate common factors
6x-4x=2x -9%2B8=-1 therefore %282x%29-1=0
Add 1 to both sides
%282x%29-1%2B1=0%2B1 or 2x=1
then divide both sides by 2
%282x%29%2F2=1%2F2 or x=1%2F2
Putting 1/2 back into the equation
3%2A%282%281%2F2%29-3%29%2B4%282-1%2F2%29=0
2*1/2=1 and 2-1/2=1.5
3%2A%281-3%29%2B4%2A%281.5%29=0
1-3=-2
3%2A-2=-6
4%2A1.5=6
-6%2B6=0