b+6=-2b+1

Solution for b+6=-2b+1 equation:

Simplifying
b + 6 = -2b + 1

Reorder the terms:
6 + b = -2b + 1

Reorder the terms:
6 + b = 1 + -2b

Solving
6 + b = 1 + -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.
6 + b + 2b = 1 + -2b + 2b

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

Combine like terms: -2b + 2b = 0
6 + 3b = 1 + 0
6 + 3b = 1

Add '-6' to each side of the equation.
6 + -6 + 3b = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 3b = 1 + -6
3b = 1 + -6

Combine like terms: 1 + -6 = -5
3b = -5

Divide each side by '3'.
b = -1.666666667

Simplifying
b = -1.666666667