-37+6b=3b-5(b+1)

Solution for -37+6b=3b-5(b+1) equation:

Simplifying
-37 + 6b = 3b + -5(b + 1)

Reorder the terms:
-37 + 6b = 3b + -5(1 + b)
-37 + 6b = 3b + (1 * -5 + b * -5)
-37 + 6b = 3b + (-5 + -5b)

Reorder the terms:
-37 + 6b = -5 + 3b + -5b

Combine like terms: 3b + -5b = -2b
-37 + 6b = -5 + -2b

Solving
-37 + 6b = -5 + -2b

Solving for variable 'b'.

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

Add '2b' to each side of the equation.
-37 + 6b + 2b = -5 + -2b + 2b

Combine like terms: 6b + 2b = 8b
-37 + 8b = -5 + -2b + 2b

Combine like terms: -2b + 2b = 0
-37 + 8b = -5 + 0
-37 + 8b = -5

Add '37' to each side of the equation.
-37 + 37 + 8b = -5 + 37

Combine like terms: -37 + 37 = 0
0 + 8b = -5 + 37
8b = -5 + 37

Combine like terms: -5 + 37 = 32
8b = 32

Divide each side by '8'.
b = 4

Simplifying
b = 4