2b+6=b+13

Solution for 2b+6=b+13 equation:

Simplifying
2b + 6 = b + 13

Reorder the terms:
6 + 2b = b + 13

Reorder the terms:
6 + 2b = 13 + b

Solving
6 + 2b = 13 + b

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.
6 + 2b + -1b = 13 + b + -1b

Combine like terms: 2b + -1b = 1b
6 + 1b = 13 + b + -1b

Combine like terms: b + -1b = 0
6 + 1b = 13 + 0
6 + 1b = 13

Add '-6' to each side of the equation.
6 + -6 + 1b = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 1b = 13 + -6
1b = 13 + -6

Combine like terms: 13 + -6 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7