2(x+3)-3(b+(-4))=16(b-6)

Solution for 2(x+3)-3(b+(-4))=16(b-6) equation:

Simplifying
2(x + 3) + -3(b + (-4)) = 16(b + -6)

Reorder the terms:
2(3 + x) + -3(b + (-4)) = 16(b + -6)
(3 * 2 + x * 2) + -3(b + (-4)) = 16(b + -6)
(6 + 2x) + -3(b + (-4)) = 16(b + -6)
6 + 2x + -3(b + -4) = 16(b + -6)

Reorder the terms:
6 + 2x + -3(-4 + b) = 16(b + -6)
6 + 2x + (-4 * -3 + b * -3) = 16(b + -6)
6 + 2x + (12 + -3b) = 16(b + -6)

Reorder the terms:
6 + 12 + -3b + 2x = 16(b + -6)

Combine like terms: 6 + 12 = 18
18 + -3b + 2x = 16(b + -6)

Reorder the terms:
18 + -3b + 2x = 16(-6 + b)
18 + -3b + 2x = (-6 * 16 + b * 16)
18 + -3b + 2x = (-96 + 16b)

Solving
18 + -3b + 2x = -96 + 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.
18 + -3b + -16b + 2x = -96 + 16b + -16b

Combine like terms: -3b + -16b = -19b
18 + -19b + 2x = -96 + 16b + -16b

Combine like terms: 16b + -16b = 0
18 + -19b + 2x = -96 + 0
18 + -19b + 2x = -96

Add '-18' to each side of the equation.
18 + -19b + -18 + 2x = -96 + -18

Reorder the terms:
18 + -18 + -19b + 2x = -96 + -18

Combine like terms: 18 + -18 = 0
0 + -19b + 2x = -96 + -18
-19b + 2x = -96 + -18

Combine like terms: -96 + -18 = -114
-19b + 2x = -114

Add '-2x' to each side of the equation.
-19b + 2x + -2x = -114 + -2x

Combine like terms: 2x + -2x = 0
-19b + 0 = -114 + -2x
-19b = -114 + -2x

Divide each side by '-19'.
b = 6 + 0.1052631579x

Simplifying
b = 6 + 0.1052631579x