10b-2(-2b-8)=3(12b+2)-12

Solution for 10b-2(-2b-8)=3(12b+2)-12 equation:

Simplifying
10b + -2(-2b + -8) = 3(12b + 2) + -12

Reorder the terms:
10b + -2(-8 + -2b) = 3(12b + 2) + -12
10b + (-8 * -2 + -2b * -2) = 3(12b + 2) + -12
10b + (16 + 4b) = 3(12b + 2) + -12

Reorder the terms:
16 + 10b + 4b = 3(12b + 2) + -12

Combine like terms: 10b + 4b = 14b
16 + 14b = 3(12b + 2) + -12

Reorder the terms:
16 + 14b = 3(2 + 12b) + -12
16 + 14b = (2 * 3 + 12b * 3) + -12
16 + 14b = (6 + 36b) + -12

Reorder the terms:
16 + 14b = 6 + -12 + 36b

Combine like terms: 6 + -12 = -6
16 + 14b = -6 + 36b

Solving
16 + 14b = -6 + 36b

Solving for variable 'b'.

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

Add '-36b' to each side of the equation.
16 + 14b + -36b = -6 + 36b + -36b

Combine like terms: 14b + -36b = -22b
16 + -22b = -6 + 36b + -36b

Combine like terms: 36b + -36b = 0
16 + -22b = -6 + 0
16 + -22b = -6

Add '-16' to each side of the equation.
16 + -16 + -22b = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -22b = -6 + -16
-22b = -6 + -16

Combine like terms: -6 + -16 = -22
-22b = -22

Divide each side by '-22'.
b = 1

Simplifying
b = 1