1/2x-3=3/2x+4 solve the following and explain each step

Bevin by multiplying both sides of the equation by 2, so you get x-6=3x+8. Next, move variable to the left side and change its sign, so you get x-3x-6=8. Then, collect the like terms, so you get - 2x=14. Lastly, divide both sides by - 2 to isolate the variable (x). The answer is x=-7