SOLUTION: {{{2x/3-1/2=x/5+1/5}}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: {{{2x/3-1/2=x/5+1/5}}}      Log On


   

Question 256146: 2x%2F3-1%2F2=x%2F5%2B1%2F5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%2F3-1%2F2=x%2F5%2B1%2F5 Start with the given equation.


30%282x%2Fcross%283%29-1%2Fcross%282%29%29=30%28x%2Fcross%285%29%2B1%2Fcross%285%29%29 Multiply both sides by the LCD 30 to clear any fractions.


20x-15=6x%2B6 Distribute and multiply.


20x=6x%2B6%2B15 Add 15 to both sides.


20x-6x=6%2B15 Subtract 6x from both sides.


14x=6%2B15 Combine like terms on the left side.


14x=21 Combine like terms on the right side.


x=%2821%29%2F%2814%29 Divide both sides by 14 to isolate x.


x=3%2F2 Reduce.


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Answer:

So the solution is x=3%2F2