SOLUTION: Please help me with the following equation: 4x/5 + 2/3 = 2x

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Question 678286: Please help me with the following equation:
4x/5 + 2/3 = 2x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2F5%2B2%2F3=2x Start with the given equation.


15%284x%2Fcross%285%29%2B2%2Fcross%283%29%29=15%282x%29 Multiply both sides by the LCD 15 to clear any fractions.


12x%2B10=30x Distribute and multiply.


12x=30x-10 Subtract 10 from both sides.


12x-30x=-10 Subtract 30x from both sides.


-18x=-10 Combine like terms on the left side.


x=%28-10%29%2F%28-18%29 Divide both sides by -18 to isolate x.


x=5%2F9 Reduce.


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Answer:

So the solution is x=5%2F9