SOLUTION: Solve the following equation by clearing fractions. Please show your work. x/6+2=4/5-x

Algebra ->  Equations -> SOLUTION: Solve the following equation by clearing fractions. Please show your work. x/6+2=4/5-x      Log On


   

Question 484030: Solve the following equation by clearing fractions. Please show your work.
x/6+2=4/5-x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F6%2B2=4%2F5-x Start with the given equation.


30%28x%2Fcross%286%29%2B2%29=30%284%2Fcross%285%29-x%29 Multiply both sides by the LCD 30 to clear any fractions.


5x%2B60=24-30x Distribute and multiply.


5x=24-30x-60 Subtract 60 from both sides.


5x%2B30x=24-60 Add 30x to both sides.


35x=24-60 Combine like terms on the left side.


35x=-36 Combine like terms on the right side.


x=%28-36%29%2F%2835%29 Divide both sides by 35 to isolate x.


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Answer:

So the solution is x=-36%2F35