Add 2 on each side of the equation to get rid of the -2 on the left-hand side (whatever you do to one side of the equation, you must do to the other side)
-2+2-6x=19+2
0-6x=19+2
-6x=21
To solve for x, we must get x by itself. So, divide both sides of the equation by -6
(-6x)/-6=21/-6
x=-21/6
Simplify as much as possible, in this case, 3 is common in the denominator and numerator