SOLUTION: 1/2x-1/10=1/5x+1/2

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Question 236498: 1/2x-1/10=1/5x+1/2
Found 3 solutions by rfer, jim_thompson5910, checkley77:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
1/2x-1/10=1/5x+1/2
5/10x-1/10=2/10x+5/10
3/10x=6/10
x=(6/10)/(3/10)
x=6/10*10/3
x=60/30
x=2

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

%281%2F2%29x-1%2F10=%281%2F5%29x%2B1%2F2 Start with the given equation.


Multiply both sides by the LCD 10 to clear any fractions.


5x-1=2x%2B5 Distribute and multiply.


5x=2x%2B5%2B1 Add 1 to both sides.


5x-2x=5%2B1 Subtract 2x from both sides.


3x=5%2B1 Combine like terms on the left side.


3x=6 Combine like terms on the right side.


x=%286%29%2F%283%29 Divide both sides by 3 to isolate x.


x=2 Reduce.


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Answer:

So the solution is x=2

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
1/2x-1/10=1/5x+1/2
x/2-1/10=x/5+1/2
x/2-x/5=1/2+1/10
(5x-2x)/2*5=(1*5+1)/10
3x/10=(5+1)/10
3x/10=6/10
3x=6
x=6/3
x=2 ans.
Proof:
1/2*2-1/10=1/5*2+1/2
1-1/10=2/5+1/2
(10-1)/10=(2*2+1*5)/10
9/10=(4+5)/10
9/10=9/10