5+6(1+b)=-(-6+2b)+3b

Solution for 5+6(1+b)=-(-6+2b)+3b equation:

Simplifying
5 + 6(1 + b) = -1(-6 + 2b) + 3b
5 + (1 * 6 + b * 6) = -1(-6 + 2b) + 3b
5 + (6 + 6b) = -1(-6 + 2b) + 3b

Combine like terms: 5 + 6 = 11
11 + 6b = -1(-6 + 2b) + 3b
11 + 6b = (-6 * -1 + 2b * -1) + 3b
11 + 6b = (6 + -2b) + 3b

Combine like terms: -2b + 3b = 1b
11 + 6b = 6 + 1b

Solving
11 + 6b = 6 + 1b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
11 + 6b + -1b = 6 + 1b + -1b

Combine like terms: 6b + -1b = 5b
11 + 5b = 6 + 1b + -1b

Combine like terms: 1b + -1b = 0
11 + 5b = 6 + 0
11 + 5b = 6

Add '-11' to each side of the equation.
11 + -11 + 5b = 6 + -11

Combine like terms: 11 + -11 = 0
0 + 5b = 6 + -11
5b = 6 + -11

Combine like terms: 6 + -11 = -5
5b = -5

Divide each side by '5'.
b = -1

Simplifying
b = -1