(-3)*(1-b)=2*(b+1)

Solution for (-3)*(1-b)=2*(b+1) equation:

Simplifying
(-3)(1 + -1b) = 2(b + 1)
(1 * -3 + -1b * -3) = 2(b + 1)
(-3 + 3b) = 2(b + 1)

Reorder the terms:
-3 + 3b = 2(1 + b)
-3 + 3b = (1 * 2 + b * 2)
-3 + 3b = (2 + 2b)

Solving
-3 + 3b = 2 + 2b

Solving for variable 'b'.

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

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

Combine like terms: 3b + -2b = 1b
-3 + 1b = 2 + 2b + -2b

Combine like terms: 2b + -2b = 0
-3 + 1b = 2 + 0
-3 + 1b = 2

Add '3' to each side of the equation.
-3 + 3 + 1b = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 1b = 2 + 3
1b = 2 + 3

Combine like terms: 2 + 3 = 5
1b = 5

Divide each side by '1'.
b = 5

Simplifying
b = 5