2b+6=-b+3

Solution for 2b+6=-b+3 equation:

Simplifying
2b + 6 = -1b + 3

Reorder the terms:
6 + 2b = -1b + 3

Reorder the terms:
6 + 2b = 3 + -1b

Solving
6 + 2b = 3 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
6 + 2b + b = 3 + -1b + b

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

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

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

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

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

Divide each side by '3'.
b = -1

Simplifying
b = -1