6(-7b+20)+3=-5(7b-5)

Solution for 6(-7b+20)+3=-5(7b-5) equation:

Simplifying
6(-7b + 20) + 3 = -5(7b + -5)

Reorder the terms:
6(20 + -7b) + 3 = -5(7b + -5)
(20 * 6 + -7b * 6) + 3 = -5(7b + -5)
(120 + -42b) + 3 = -5(7b + -5)

Reorder the terms:
120 + 3 + -42b = -5(7b + -5)

Combine like terms: 120 + 3 = 123
123 + -42b = -5(7b + -5)

Reorder the terms:
123 + -42b = -5(-5 + 7b)
123 + -42b = (-5 * -5 + 7b * -5)
123 + -42b = (25 + -35b)

Solving
123 + -42b = 25 + -35b

Solving for variable 'b'.

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

Add '35b' to each side of the equation.
123 + -42b + 35b = 25 + -35b + 35b

Combine like terms: -42b + 35b = -7b
123 + -7b = 25 + -35b + 35b

Combine like terms: -35b + 35b = 0
123 + -7b = 25 + 0
123 + -7b = 25

Add '-123' to each side of the equation.
123 + -123 + -7b = 25 + -123

Combine like terms: 123 + -123 = 0
0 + -7b = 25 + -123
-7b = 25 + -123

Combine like terms: 25 + -123 = -98
-7b = -98

Divide each side by '-7'.
b = 14

Simplifying
b = 14