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

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

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

Reorder the terms:
2(2 + b) + b = 2(6 + b + 1)
(2 * 2 + b * 2) + b = 2(6 + b + 1)
(4 + 2b) + b = 2(6 + b + 1)

Combine like terms: 2b + b = 3b
4 + 3b = 2(6 + b + 1)

Reorder the terms:
4 + 3b = 2(6 + 1 + b)

Combine like terms: 6 + 1 = 7
4 + 3b = 2(7 + b)
4 + 3b = (7 * 2 + b * 2)
4 + 3b = (14 + 2b)

Solving
4 + 3b = 14 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
4 + 3b + -2b = 14 + 2b + -2b

Combine like terms: 3b + -2b = 1b
4 + 1b = 14 + 2b + -2b

Combine like terms: 2b + -2b = 0
4 + 1b = 14 + 0
4 + 1b = 14

Add '-4' to each side of the equation.
4 + -4 + 1b = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 1b = 14 + -4
1b = 14 + -4

Combine like terms: 14 + -4 = 10
1b = 10

Divide each side by '1'.
b = 10

Simplifying
b = 10