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

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

Simplifying
37 + 5b = 2(6b + 1)

Reorder the terms:
37 + 5b = 2(1 + 6b)
37 + 5b = (1 * 2 + 6b * 2)
37 + 5b = (2 + 12b)

Solving
37 + 5b = 2 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
37 + 5b + -12b = 2 + 12b + -12b

Combine like terms: 5b + -12b = -7b
37 + -7b = 2 + 12b + -12b

Combine like terms: 12b + -12b = 0
37 + -7b = 2 + 0
37 + -7b = 2

Add '-37' to each side of the equation.
37 + -37 + -7b = 2 + -37

Combine like terms: 37 + -37 = 0
0 + -7b = 2 + -37
-7b = 2 + -37

Combine like terms: 2 + -37 = -35
-7b = -35

Divide each side by '-7'.
b = 5

Simplifying
b = 5