Solve the equation 6/x+3= 11/x-2

1 answer

To solve this equation, we need to isolate x on one side.

Firstly, we can simplify the left side of the equation by finding a common denominator:

6/(x+3) = 11/(x-2)

Multiplying both sides by (x+3)(x-2), we get:

6(x-2) = 11(x+3)

Expanding and simplifying:

6x - 12 = 11x + 33

Subtracting 6x and simplifying:

-12 = 5x + 33

Subtracting 33 from both sides:

-45 = 5x

Dividing both sides by 5:

x = -9

Therefore, the solution to the equation 6/x+3= 11/x-2 is x = -9.