2(b-4)-6(b+8)=12(b+b)-8b+6

Solution for 2(b-4)-6(b+8)=12(b+b)-8b+6 equation:

Simplifying
2(b + -4) + -6(b + 8) = 12(b + b) + -8b + 6

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

Reorder the terms:
-8 + 2b + -6(8 + b) = 12(b + b) + -8b + 6
-8 + 2b + (8 * -6 + b * -6) = 12(b + b) + -8b + 6
-8 + 2b + (-48 + -6b) = 12(b + b) + -8b + 6

Reorder the terms:
-8 + -48 + 2b + -6b = 12(b + b) + -8b + 6

Combine like terms: -8 + -48 = -56
-56 + 2b + -6b = 12(b + b) + -8b + 6

Combine like terms: 2b + -6b = -4b
-56 + -4b = 12(b + b) + -8b + 6

Combine like terms: b + b = 2b
-56 + -4b = 12(2b) + -8b + 6

Remove parenthesis around (2b)
-56 + -4b = 12 * 2b + -8b + 6

Multiply 12 * 2
-56 + -4b = 24b + -8b + 6

Reorder the terms:
-56 + -4b = 6 + 24b + -8b

Combine like terms: 24b + -8b = 16b
-56 + -4b = 6 + 16b

Solving
-56 + -4b = 6 + 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.
-56 + -4b + -16b = 6 + 16b + -16b

Combine like terms: -4b + -16b = -20b
-56 + -20b = 6 + 16b + -16b

Combine like terms: 16b + -16b = 0
-56 + -20b = 6 + 0
-56 + -20b = 6

Add '56' to each side of the equation.
-56 + 56 + -20b = 6 + 56

Combine like terms: -56 + 56 = 0
0 + -20b = 6 + 56
-20b = 6 + 56

Combine like terms: 6 + 56 = 62
-20b = 62

Divide each side by '-20'.
b = -3.1

Simplifying
b = -3.1