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

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

Simplifying
3(b + 2) + -1(b + -8) = 3(b + 8)

Reorder the terms:
3(2 + b) + -1(b + -8) = 3(b + 8)
(2 * 3 + b * 3) + -1(b + -8) = 3(b + 8)
(6 + 3b) + -1(b + -8) = 3(b + 8)

Reorder the terms:
6 + 3b + -1(-8 + b) = 3(b + 8)
6 + 3b + (-8 * -1 + b * -1) = 3(b + 8)
6 + 3b + (8 + -1b) = 3(b + 8)

Reorder the terms:
6 + 8 + 3b + -1b = 3(b + 8)

Combine like terms: 6 + 8 = 14
14 + 3b + -1b = 3(b + 8)

Combine like terms: 3b + -1b = 2b
14 + 2b = 3(b + 8)

Reorder the terms:
14 + 2b = 3(8 + b)
14 + 2b = (8 * 3 + b * 3)
14 + 2b = (24 + 3b)

Solving
14 + 2b = 24 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
14 + 2b + -3b = 24 + 3b + -3b

Combine like terms: 2b + -3b = -1b
14 + -1b = 24 + 3b + -3b

Combine like terms: 3b + -3b = 0
14 + -1b = 24 + 0
14 + -1b = 24

Add '-14' to each side of the equation.
14 + -14 + -1b = 24 + -14

Combine like terms: 14 + -14 = 0
0 + -1b = 24 + -14
-1b = 24 + -14

Combine like terms: 24 + -14 = 10
-1b = 10

Divide each side by '-1'.
b = -10

Simplifying
b = -10