2(2b+3)=3b+12

Solution for 2(2b+3)=3b+12 equation:

Simplifying
2(2b + 3) = 3b + 12

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

Reorder the terms:
6 + 4b = 12 + 3b

Solving
6 + 4b = 12 + 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.
6 + 4b + -3b = 12 + 3b + -3b

Combine like terms: 4b + -3b = 1b
6 + 1b = 12 + 3b + -3b

Combine like terms: 3b + -3b = 0
6 + 1b = 12 + 0
6 + 1b = 12

Add '-6' to each side of the equation.
6 + -6 + 1b = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 1b = 12 + -6
1b = 12 + -6

Combine like terms: 12 + -6 = 6
1b = 6

Divide each side by '1'.
b = 6

Simplifying
b = 6