3(b+6)=3(1+2b)

Solution for 3(b+6)=3(1+2b) equation:

Simplifying
3(b + 6) = 3(1 + 2b)

Reorder the terms:
3(6 + b) = 3(1 + 2b)
(6 * 3 + b * 3) = 3(1 + 2b)
(18 + 3b) = 3(1 + 2b)
18 + 3b = (1 * 3 + 2b * 3)
18 + 3b = (3 + 6b)

Solving
18 + 3b = 3 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
18 + 3b + -6b = 3 + 6b + -6b

Combine like terms: 3b + -6b = -3b
18 + -3b = 3 + 6b + -6b

Combine like terms: 6b + -6b = 0
18 + -3b = 3 + 0
18 + -3b = 3

Add '-18' to each side of the equation.
18 + -18 + -3b = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -3b = 3 + -18
-3b = 3 + -18

Combine like terms: 3 + -18 = -15
-3b = -15

Divide each side by '-3'.
b = 5

Simplifying
b = 5