-8b+6=5(1+3b)+1

Solution for -8b+6=5(1+3b)+1 equation:

Simplifying
-8b + 6 = 5(1 + 3b) + 1

Reorder the terms:
6 + -8b = 5(1 + 3b) + 1
6 + -8b = (1 * 5 + 3b * 5) + 1
6 + -8b = (5 + 15b) + 1

Reorder the terms:
6 + -8b = 5 + 1 + 15b

Combine like terms: 5 + 1 = 6
6 + -8b = 6 + 15b

Add '-6' to each side of the equation.
6 + -6 + -8b = 6 + -6 + 15b

Combine like terms: 6 + -6 = 0
0 + -8b = 6 + -6 + 15b
-8b = 6 + -6 + 15b

Combine like terms: 6 + -6 = 0
-8b = 0 + 15b
-8b = 15b

Solving
-8b = 15b

Solving for variable 'b'.

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

Add '-15b' to each side of the equation.
-8b + -15b = 15b + -15b

Combine like terms: -8b + -15b = -23b
-23b = 15b + -15b

Combine like terms: 15b + -15b = 0
-23b = 0

Divide each side by '-23'.
b = 0

Simplifying
b = 0