3b+2-b-8-6b=3b-3-b+21

Solution for 3b+2-b-8-6b=3b-3-b+21 equation:

Simplifying
3b + 2 + -1b + -8 + -6b = 3b + -3 + -1b + 21

Reorder the terms:
2 + -8 + 3b + -1b + -6b = 3b + -3 + -1b + 21

Combine like terms: 2 + -8 = -6
-6 + 3b + -1b + -6b = 3b + -3 + -1b + 21

Combine like terms: 3b + -1b = 2b
-6 + 2b + -6b = 3b + -3 + -1b + 21

Combine like terms: 2b + -6b = -4b
-6 + -4b = 3b + -3 + -1b + 21

Reorder the terms:
-6 + -4b = -3 + 21 + 3b + -1b

Combine like terms: -3 + 21 = 18
-6 + -4b = 18 + 3b + -1b

Combine like terms: 3b + -1b = 2b
-6 + -4b = 18 + 2b

Solving
-6 + -4b = 18 + 2b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-2b' to each side of the equation.
-6 + -4b + -2b = 18 + 2b + -2b

Combine like terms: -4b + -2b = -6b
-6 + -6b = 18 + 2b + -2b

Combine like terms: 2b + -2b = 0
-6 + -6b = 18 + 0
-6 + -6b = 18

Add '6' to each side of the equation.
-6 + 6 + -6b = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -6b = 18 + 6
-6b = 18 + 6

Combine like terms: 18 + 6 = 24
-6b = 24

Divide each side by '-6'.
b = -4

Simplifying
b = -4