SOLUTION: solve the equation 5/3(2s+2)= -1/12(5s+2)-4

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Question 335814: solve the equation

5/3(2s+2)= -1/12(5s+2)-4

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285%2F3%29%282s%2B2%29=-%281%2F12%29%285s%2B2%29-4 Start with the given equation.


%2810%2F3%29s%2B10%2F3=-%285%2F12%29s-1%2F6-4 Distribute.


Multiply both sides by the LCD 12 to clear any fractions.


40s%2B40=-5s-2-48 Distribute and multiply.


40s%2B40=-50-5s Combine like terms on the right side.


40s=-50-5s-40 Subtract 40 from both sides.


40s%2B5s=-50-40 Add 5s to both sides.


45s=-50-40 Combine like terms on the left side.


45s=-90 Combine like terms on the right side.


s=%28-90%29%2F%2845%29 Divide both sides by 45 to isolate s.


s=-2 Reduce.


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Answer:

So the answer is s=-2


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Jim