5(x-6)-6(x-5)=x+5-(x-3) solve and get a solution set

Solve for x:
5 (x - 6) - 6 (x - 5) = 8

5 (x - 6) = 5 x - 30:
5 x - 30 - 6 (x - 5) = 8

-6 (x - 5) = 30 - 6 x:
-30 + 5 x + 30 - 6 x = 8

Grouping like terms, -30 + 5 x + 30 - 6 x = (30 - 30) + (5 x - 6 x):
(30 - 30) + (5 x - 6 x) = 8

5 x - 6 x = -x:
-x + (30 - 30) = 8

30 - 30 = 0:
-x = 8

Multiply both sides of -x = 8 by -1:
(-x)/(-1) = -8

(-1)/(-1) = 1:
Answer: | x = -8