-3+5(5+2b)=3(b-2)

Solution for -3+5(5+2b)=3(b-2) equation:

Simplifying
-3 + 5(5 + 2b) = 3(b + -2)
-3 + (5 * 5 + 2b * 5) = 3(b + -2)
-3 + (25 + 10b) = 3(b + -2)

Combine like terms: -3 + 25 = 22
22 + 10b = 3(b + -2)

Reorder the terms:
22 + 10b = 3(-2 + b)
22 + 10b = (-2 * 3 + b * 3)
22 + 10b = (-6 + 3b)

Solving
22 + 10b = -6 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
22 + 10b + -3b = -6 + 3b + -3b

Combine like terms: 10b + -3b = 7b
22 + 7b = -6 + 3b + -3b

Combine like terms: 3b + -3b = 0
22 + 7b = -6 + 0
22 + 7b = -6

Add '-22' to each side of the equation.
22 + -22 + 7b = -6 + -22

Combine like terms: 22 + -22 = 0
0 + 7b = -6 + -22
7b = -6 + -22

Combine like terms: -6 + -22 = -28
7b = -28

Divide each side by '7'.
b = -4

Simplifying
b = -4