SOLUTION: 1/4 (x+2) = 1/2 (x+6)

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Question 105320: 1/4 (x+2) = 1/2 (x+6)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F4%29%28x%2B2%29=%281%2F2%29%28x%2B6%29 Start with the given equation



%284%29%28%281%2F4%29%28x%2B2%29%29=%284%29%28%281%2F2%29%28x%2B6%29%29 Multiply both sides by the LCM of 4. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



%28x%2B2%29=2%28x%2B6%29 Distribute and multiply the LCM to each side



x%2B2=2x%2B12 Distribute again


x=2x%2B12-2Subtract 2 from both sides


x-2x=12-2 Subtract 2x from both sides


-x=12-2 Combine like terms on the left side


-x=10 Combine like terms on the right side


x=%2810%29%2F%28-1%29 Divide both sides by -1 to isolate x



x=-10 Divide

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Answer:
So our answer is x=-10