2(6b+3)=18-3(16-3b)

Solution for 2(6b+3)=18-3(16-3b) equation:

Simplifying
2(6b + 3) = 18 + -3(16 + -3b)

Reorder the terms:
2(3 + 6b) = 18 + -3(16 + -3b)
(3 * 2 + 6b * 2) = 18 + -3(16 + -3b)
(6 + 12b) = 18 + -3(16 + -3b)
6 + 12b = 18 + (16 * -3 + -3b * -3)
6 + 12b = 18 + (-48 + 9b)

Combine like terms: 18 + -48 = -30
6 + 12b = -30 + 9b

Solving
6 + 12b = -30 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
6 + 12b + -9b = -30 + 9b + -9b

Combine like terms: 12b + -9b = 3b
6 + 3b = -30 + 9b + -9b

Combine like terms: 9b + -9b = 0
6 + 3b = -30 + 0
6 + 3b = -30

Add '-6' to each side of the equation.
6 + -6 + 3b = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 3b = -30 + -6
3b = -30 + -6

Combine like terms: -30 + -6 = -36
3b = -36

Divide each side by '3'.
b = -12

Simplifying
b = -12