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 = -5b
3 + -5b = -2 + 2b + -2b

Combine like terms: 2b + -2b = 0
3 + -5b = -2 + 0
3 + -5b = -2

Add '-3' to each side of the equation.
3 + -3 + -5b = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -5b = -2 + -3
-5b = -2 + -3

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

Divide each side by '-5'.
b = 1

Simplifying
b = 1