SOLUTION: 3/5(x+4)+1/2x=x+3

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Question 318433: 3/5(x+4)+1/2x=x+3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F5%29%28x%2B4%29%2B%281%2F2%29x=x%2B3 Start with the given equation.


%283%2F5%29x%2B12%2F5%2B%281%2F2%29x=x%2B3 Distribute.


10%28%283%2Fcross%285%29%29x%2B12%2Fcross%285%29%2B%281%2Fcross%282%29%29x%29=10%28x%2B3%29 Multiply both sides by the LCD 10 to clear any fractions.


6x%2B24%2B5x=10x%2B30 Distribute and multiply.


11x%2B24=10x%2B30 Combine like terms on the left side.


11x=10x%2B30-24 Subtract 24 from both sides.


11x-10x=30-24 Subtract 10x from both sides.


x=30-24 Combine like terms on the left side.


x=6 Combine like terms on the right side.


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Answer:

So the solution is x=6