6-2b=5(b-4)+6b

Solution for 6-2b=5(b-4)+6b equation:

Simplifying
6 + -2b = 5(b + -4) + 6b

Reorder the terms:
6 + -2b = 5(-4 + b) + 6b
6 + -2b = (-4 * 5 + b * 5) + 6b
6 + -2b = (-20 + 5b) + 6b

Combine like terms: 5b + 6b = 11b
6 + -2b = -20 + 11b

Solving
6 + -2b = -20 + 11b

Solving for variable 'b'.

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

Add '-11b' to each side of the equation.
6 + -2b + -11b = -20 + 11b + -11b

Combine like terms: -2b + -11b = -13b
6 + -13b = -20 + 11b + -11b

Combine like terms: 11b + -11b = 0
6 + -13b = -20 + 0
6 + -13b = -20

Add '-6' to each side of the equation.
6 + -6 + -13b = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -13b = -20 + -6
-13b = -20 + -6

Combine like terms: -20 + -6 = -26
-13b = -26

Divide each side by '-13'.
b = 2

Simplifying
b = 2