solve rational equation

3/x-1=6/x+2

I believe I answered this exact same question for you yesterday, you never acknowledged it and now you ask it again.

http://www.jiskha.com/display.cgi?id=1240197968

To solve the rational equation 3/(x - 1) = 6/(x + 2), we need to eliminate the denominators and solve for x. Here's how you can do that:

Step 1: Multiply both sides of the equation by (x - 1)(x + 2) to clear the denominators. This will result in:
3(x + 2) = 6(x - 1)

Step 2: Distribute the multiplication on both sides to simplify the equation:
3x + 6 = 6x - 6

Step 3: Move all terms containing x to one side of the equation by subtracting 3x and adding 6 to both sides:
6 + 6 = 6x - 3x

This simplifies to:
12 = 3x

Step 4: Divide both sides of the equation by 3 to isolate x:
12/3 = x
4 = x

Therefore, the solution to the rational equation is x = 4.