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

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

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

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

Reorder the terms:
-8 + 2b + -6(8 + b) = 12(b + 4)
-8 + 2b + (8 * -6 + b * -6) = 12(b + 4)
-8 + 2b + (-48 + -6b) = 12(b + 4)

Reorder the terms:
-8 + -48 + 2b + -6b = 12(b + 4)

Combine like terms: -8 + -48 = -56
-56 + 2b + -6b = 12(b + 4)

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

Reorder the terms:
-56 + -4b = 12(4 + b)
-56 + -4b = (4 * 12 + b * 12)
-56 + -4b = (48 + 12b)

Solving
-56 + -4b = 48 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
-56 + -4b + -12b = 48 + 12b + -12b

Combine like terms: -4b + -12b = -16b
-56 + -16b = 48 + 12b + -12b

Combine like terms: 12b + -12b = 0
-56 + -16b = 48 + 0
-56 + -16b = 48

Add '56' to each side of the equation.
-56 + 56 + -16b = 48 + 56

Combine like terms: -56 + 56 = 0
0 + -16b = 48 + 56
-16b = 48 + 56

Combine like terms: 48 + 56 = 104
-16b = 104

Divide each side by '-16'.
b = -6.5

Simplifying
b = -6.5