3(b-23)=21-3(b-2)

Solution for 3(b-23)=21-3(b-2) equation:

Simplifying
3(b + -23) = 21 + -3(b + -2)

Reorder the terms:
3(-23 + b) = 21 + -3(b + -2)
(-23 * 3 + b * 3) = 21 + -3(b + -2)
(-69 + 3b) = 21 + -3(b + -2)

Reorder the terms:
-69 + 3b = 21 + -3(-2 + b)
-69 + 3b = 21 + (-2 * -3 + b * -3)
-69 + 3b = 21 + (6 + -3b)

Combine like terms: 21 + 6 = 27
-69 + 3b = 27 + -3b

Solving
-69 + 3b = 27 + -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.
-69 + 3b + 3b = 27 + -3b + 3b

Combine like terms: 3b + 3b = 6b
-69 + 6b = 27 + -3b + 3b

Combine like terms: -3b + 3b = 0
-69 + 6b = 27 + 0
-69 + 6b = 27

Add '69' to each side of the equation.
-69 + 69 + 6b = 27 + 69

Combine like terms: -69 + 69 = 0
0 + 6b = 27 + 69
6b = 27 + 69

Combine like terms: 27 + 69 = 96
6b = 96

Divide each side by '6'.
b = 16

Simplifying
b = 16