5b+6=8b-21

Solution for 5b+6=8b-21 equation:

Simplifying
5b + 6 = 8b + -21

Reorder the terms:
6 + 5b = 8b + -21

Reorder the terms:
6 + 5b = -21 + 8b

Solving
6 + 5b = -21 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
6 + 5b + -8b = -21 + 8b + -8b

Combine like terms: 5b + -8b = -3b
6 + -3b = -21 + 8b + -8b

Combine like terms: 8b + -8b = 0
6 + -3b = -21 + 0
6 + -3b = -21

Add '-6' to each side of the equation.
6 + -6 + -3b = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -3b = -21 + -6
-3b = -21 + -6

Combine like terms: -21 + -6 = -27
-3b = -27

Divide each side by '-3'.
b = 9

Simplifying
b = 9