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Solve the following equation:

2/3 + 1/x = 2/5 - 3/x


-15

-10

-45/19

User IsADon
by
7.8k points

1 Answer

2 votes

Answer: To solve this equation, we'll start by getting all the terms with x on one side and all the constant terms on the other side. To do this, we'll subtract the 1/x terms from both sides:

2/3 + 1/x - 1/x = 2/5 - 3/x - 1/x

Simplifying the left side:

2/3 = 2/5 - 4/x

Adding 4/x to both sides:

2/3 + 4/x = 2/5

Multiplying both sides by the least common multiple of the denominators, which is 15:

10 + 60/x = 30/5

Expanding the right side:

10 + 60/x = 6

Subtracting 10 from both sides:

60/x = -4

Dividing both sides by 60:

1/x = -4/60

Dividing both sides by -1:

x = 15/4

So the solution to the equation is x = 15/4.

Explanation:

User Paulthenerd
by
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