2(b+3)=3b+6

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

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

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

Reorder the terms:
6 + 2b = 6 + 3b

Add '-6' to each side of the equation.
6 + -6 + 2b = 6 + -6 + 3b

Combine like terms: 6 + -6 = 0
0 + 2b = 6 + -6 + 3b
2b = 6 + -6 + 3b

Combine like terms: 6 + -6 = 0
2b = 0 + 3b
2b = 3b

Solving
2b = 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.
2b + -3b = 3b + -3b

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

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

Divide each side by '-1'.
b = 0

Simplifying
b = 0