2(6+b)=32+7b

Solution for 2(6+b)=32+7b equation:

Simplifying
2(6 + b) = 32 + 7b
(6 * 2 + b * 2) = 32 + 7b
(12 + 2b) = 32 + 7b

Solving
12 + 2b = 32 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
12 + 2b + -7b = 32 + 7b + -7b

Combine like terms: 2b + -7b = -5b
12 + -5b = 32 + 7b + -7b

Combine like terms: 7b + -7b = 0
12 + -5b = 32 + 0
12 + -5b = 32

Add '-12' to each side of the equation.
12 + -12 + -5b = 32 + -12

Combine like terms: 12 + -12 = 0
0 + -5b = 32 + -12
-5b = 32 + -12

Combine like terms: 32 + -12 = 20
-5b = 20

Divide each side by '-5'.
b = -4

Simplifying
b = -4