83=-5b+3(1+5b)

Solution for 83=-5b+3(1+5b) equation:

Simplifying
83 = -5b + 3(1 + 5b)
83 = -5b + (1 * 3 + 5b * 3)
83 = -5b + (3 + 15b)

Reorder the terms:
83 = 3 + -5b + 15b

Combine like terms: -5b + 15b = 10b
83 = 3 + 10b

Solving
83 = 3 + 10b

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
83 + -10b = 3 + 10b + -10b

Combine like terms: 10b + -10b = 0
83 + -10b = 3 + 0
83 + -10b = 3

Add '-83' to each side of the equation.
83 + -83 + -10b = 3 + -83

Combine like terms: 83 + -83 = 0
0 + -10b = 3 + -83
-10b = 3 + -83

Combine like terms: 3 + -83 = -80
-10b = -80

Divide each side by '-10'.
b = 8

Simplifying
b = 8