SOLUTION: Solve for x: 2x over 3 +4 = x-5

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Question 252600: Solve for x:
2x over 3 +4 = x-5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%2F3%2B4=x-5 Start with the given equation.


3%282x%2Fcross%283%29%2B4%29=3%28x-5%29 Multiply both sides by the LCD 3 to clear any fractions.


2x%2B12=3x-15 Distribute and multiply.


2x=3x-15-12 Subtract 12 from both sides.


2x-3x=-15-12 Subtract 3x from both sides.


-x=-15-12 Combine like terms on the left side.


-x=-27 Combine like terms on the right side.


x=%28-27%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=27 Reduce.


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Answer:

So the solution is x=27