solve:

3 6
____ = _____
x-1 x+2

To solve this equation, you need to find the value of x that satisfies the equation.

To start, we'll cross multiply:

(3)(x+2) = (6)(x-1)

Next, distribute the multiplication on both sides:

3x + 6 = 6x - 6

Now, let's simplify the equation by subtracting 3x from both sides:

6 = 3x - 6

Add 6 to both sides:

12 = 3x

Finally, divide both sides by 3:

x = 4

So the value of x that solves the equation is 4.