37+6b=5b-2(1-7b)

Solution for 37+6b=5b-2(1-7b) equation:

Simplifying
37 + 6b = 5b + -2(1 + -7b)
37 + 6b = 5b + (1 * -2 + -7b * -2)
37 + 6b = 5b + (-2 + 14b)

Reorder the terms:
37 + 6b = -2 + 5b + 14b

Combine like terms: 5b + 14b = 19b
37 + 6b = -2 + 19b

Solving
37 + 6b = -2 + 19b

Solving for variable 'b'.

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

Add '-19b' to each side of the equation.
37 + 6b + -19b = -2 + 19b + -19b

Combine like terms: 6b + -19b = -13b
37 + -13b = -2 + 19b + -19b

Combine like terms: 19b + -19b = 0
37 + -13b = -2 + 0
37 + -13b = -2

Add '-37' to each side of the equation.
37 + -37 + -13b = -2 + -37

Combine like terms: 37 + -37 = 0
0 + -13b = -2 + -37
-13b = -2 + -37

Combine like terms: -2 + -37 = -39
-13b = -39

Divide each side by '-13'.
b = 3

Simplifying
b = 3