Let's solve your equation step-by-step.
1/4x - 2 = -6 + 5/12x
Step 1: Subtract 5/12x from both sides.
So now the problem is: -1/6x - 2 = -6
Step 2: Add 2 to both sides
So now the problem is -1/6x = -4
Step 3: Multiply -6 to both sides
Now you have x alone and 24
Answer: x = 24