SOLUTION: solve for x: 2(x-3)=1/2x

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Question 120356: solve for x: 2(x-3)=1/2x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%28x-3%29=%281%2F2%29x Start with the given equation



%282%29%282%28x-3%29%29=%282%29%28%281%2F2%29x%29 Multiply both sides by the LCM of 2. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



4%28x-3%29=x Distribute and multiply the LCM to each side



4x-12=x Distribute


4x=x%2B12Add 12 to both sides


4x-x=%2B12 Subtract x from both sides


3x=12 Combine like terms on the left side


x=%2812%29%2F%283%29 Divide both sides by 3 to isolate x



x=4 Divide

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Answer:
So our answer is x=4