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

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

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

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