What is the solution of 1/2x-8=-3/2x+2?

The solution would be x=5

1/2x - 8 = - 3/2x + 2

First, we want to get x alone on one side of the equation. We can do this by adding 8 to each side, to cancel out the - 8.

1/2x = - 3/2x + 10

Next, we need to put all x's on the same side; by adding 3/2x to both sides.

4/2x = 10

(simplified) 2x = 10

Next, divide both sides by 2

x = 5