2(b+6)+7b=3b+6

Solution for 2(b+6)+7b=3b+6 equation:

Simplifying
2(b + 6) + 7b = 3b + 6

Reorder the terms:
2(6 + b) + 7b = 3b + 6
(6 * 2 + b * 2) + 7b = 3b + 6
(12 + 2b) + 7b = 3b + 6

Combine like terms: 2b + 7b = 9b
12 + 9b = 3b + 6

Reorder the terms:
12 + 9b = 6 + 3b

Solving
12 + 9b = 6 + 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.
12 + 9b + -3b = 6 + 3b + -3b

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

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

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

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

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

Divide each side by '6'.
b = -1

Simplifying
b = -1