5(1+8b)-3=-6(1-7b)

Solution for 5(1+8b)-3=-6(1-7b) equation:

Simplifying
5(1 + 8b) + -3 = -6(1 + -7b)
(1 * 5 + 8b * 5) + -3 = -6(1 + -7b)
(5 + 40b) + -3 = -6(1 + -7b)

Reorder the terms:
5 + -3 + 40b = -6(1 + -7b)

Combine like terms: 5 + -3 = 2
2 + 40b = -6(1 + -7b)
2 + 40b = (1 * -6 + -7b * -6)
2 + 40b = (-6 + 42b)

Solving
2 + 40b = -6 + 42b

Solving for variable 'b'.

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

Add '-42b' to each side of the equation.
2 + 40b + -42b = -6 + 42b + -42b

Combine like terms: 40b + -42b = -2b
2 + -2b = -6 + 42b + -42b

Combine like terms: 42b + -42b = 0
2 + -2b = -6 + 0
2 + -2b = -6

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

Combine like terms: 2 + -2 = 0
0 + -2b = -6 + -2
-2b = -6 + -2

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

Divide each side by '-2'.
b = 4

Simplifying
b = 4