SOLUTION: 2x/5+1/3=7x-2/15

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Question 190585: 2x/5+1/3=7x-2/15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation 2x%2F5%2B1%2F3=7x-2%2F15 ???


2x%2F5%2B1%2F3=7x-2%2F15 Start with the given equation.


Multiply EVERY term by the LCD 15 to clear any fractions.


6x%2B5=105x-2 Multiply.


6x=105x-2-5 Subtract 5 from both sides.


6x-105x=-2-5 Subtract 105x from both sides.


-99x=-2-5 Combine like terms on the left side.


-99x=-7 Combine like terms on the right side.


x=%28-7%29%2F%28-99%29 Divide both sides by -99 to isolate x.


x=7%2F99 Reduce.


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Answer:

So the answer is x=7%2F99 which approximates to x=0.071.



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OR....

Is the equation 2x%2F5%2B1%2F3=%287x-2%29%2F15 ???


2x%2F5%2B1%2F3=%287x-2%29%2F15 Start with the given equation.


Multiply EVERY term by the LCD 15 to clear out the fractions


3%282x%29%2B5%283%29=7x-2 Simplify


6x%2B15=7x-2 Multiply


6x=7x-2-15 Subtract 15 from both sides.


6x-7x=-2-15 Subtract 7x from both sides.


-x=-2-15 Combine like terms on the left side.


-x=-17 Combine like terms on the right side.


x=%28-17%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=17 Reduce.


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Answer:

So the answer is x=17