5b-6-3b=6b-21

Solution for 5b-6-3b=6b-21 equation:

Simplifying
5b + -6 + -3b = 6b + -21

Reorder the terms:
-6 + 5b + -3b = 6b + -21

Combine like terms: 5b + -3b = 2b
-6 + 2b = 6b + -21

Reorder the terms:
-6 + 2b = -21 + 6b

Solving
-6 + 2b = -21 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-6 + 2b + -6b = -21 + 6b + -6b

Combine like terms: 2b + -6b = -4b
-6 + -4b = -21 + 6b + -6b

Combine like terms: 6b + -6b = 0
-6 + -4b = -21 + 0
-6 + -4b = -21

Add '6' to each side of the equation.
-6 + 6 + -4b = -21 + 6

Combine like terms: -6 + 6 = 0
0 + -4b = -21 + 6
-4b = -21 + 6

Combine like terms: -21 + 6 = -15
-4b = -15

Divide each side by '-4'.
b = 3.75

Simplifying
b = 3.75