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

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

Simplifying
-5(-1b + -7) = 3(b + 1)

Reorder the terms:
-5(-7 + -1b) = 3(b + 1)
(-7 * -5 + -1b * -5) = 3(b + 1)
(35 + 5b) = 3(b + 1)

Reorder the terms:
35 + 5b = 3(1 + b)
35 + 5b = (1 * 3 + b * 3)
35 + 5b = (3 + 3b)

Solving
35 + 5b = 3 + 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.
35 + 5b + -3b = 3 + 3b + -3b

Combine like terms: 5b + -3b = 2b
35 + 2b = 3 + 3b + -3b

Combine like terms: 3b + -3b = 0
35 + 2b = 3 + 0
35 + 2b = 3

Add '-35' to each side of the equation.
35 + -35 + 2b = 3 + -35

Combine like terms: 35 + -35 = 0
0 + 2b = 3 + -35
2b = 3 + -35

Combine like terms: 3 + -35 = -32
2b = -32

Divide each side by '2'.
b = -16

Simplifying
b = -16