8b+3(4b+2)=6b-2(5-5b)

Solution for 8b+3(4b+2)=6b-2(5-5b) equation:

Simplifying
8b + 3(4b + 2) = 6b + -2(5 + -5b)

Reorder the terms:
8b + 3(2 + 4b) = 6b + -2(5 + -5b)
8b + (2 * 3 + 4b * 3) = 6b + -2(5 + -5b)
8b + (6 + 12b) = 6b + -2(5 + -5b)

Reorder the terms:
6 + 8b + 12b = 6b + -2(5 + -5b)

Combine like terms: 8b + 12b = 20b
6 + 20b = 6b + -2(5 + -5b)
6 + 20b = 6b + (5 * -2 + -5b * -2)
6 + 20b = 6b + (-10 + 10b)

Reorder the terms:
6 + 20b = -10 + 6b + 10b

Combine like terms: 6b + 10b = 16b
6 + 20b = -10 + 16b

Solving
6 + 20b = -10 + 16b

Solving for variable 'b'.

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

Add '-16b' to each side of the equation.
6 + 20b + -16b = -10 + 16b + -16b

Combine like terms: 20b + -16b = 4b
6 + 4b = -10 + 16b + -16b

Combine like terms: 16b + -16b = 0
6 + 4b = -10 + 0
6 + 4b = -10

Add '-6' to each side of the equation.
6 + -6 + 4b = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 4b = -10 + -6
4b = -10 + -6

Combine like terms: -10 + -6 = -16
4b = -16

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

Simplifying
b = -4