Solve this Please and explain

-2(x - 3) = -3x + 8

x=2

Step-by-step explanation:

First, you want to distribute -2 into both terms in the parenthesis.

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

Now you have -2x+6=-3x+8

Next, I want to only have x on one side of the equation to solve it, so I will add 3x to both sides.

x+6=8

Finally, I subtract 6 from both sides so x is alone on one side of the equation

x=2

Now I know x = 2. To double check this, I can substitute 2 in for x in the original equation.

-2(2 - 3) = -3(2) + 8

-2(-1) = -6 +8

2 = 2

Both sides equal eachother, so x = 2 is the correct solution.