SOLUTION: 3x-0.54=2(x-0.15)

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Question 114434: 3x-0.54=2(x-0.15)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x-0.54=2%28x-0.15%29 Start with the given equation

3x-0.54=2x-0.3 Distribute


100%283x-0.54%29=100%282x-0.3%29 Multiply both sides by 100 to move the decimal on each number 2 times. This will make every number a whole number.

300x-54=200x-30 Distribute and multiply

300x=200x-30%2B54Add 54 to both sides


300x-200x=-30%2B54 Subtract 200x from both sides


100x=-30%2B54 Combine like terms on the left side


100x=24 Combine like terms on the right side


x=%2824%29%2F%28100%29 Divide both sides by 100 to isolate x



x=6%2F25 Reduce

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Answer:
So our answer is x=6%2F25 (which is approximately x=0.24 in decimal form)