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

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

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

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

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

Solving
-3 + 3b = -6 + 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 = -6 + 2b + -2b

Combine like terms: 3b + -2b = 1b
-3 + 1b = -6 + 2b + -2b

Combine like terms: 2b + -2b = 0
-3 + 1b = -6 + 0
-3 + 1b = -6

Add '3' to each side of the equation.
-3 + 3 + 1b = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 1b = -6 + 3
1b = -6 + 3

Combine like terms: -6 + 3 = -3
1b = -3

Divide each side by '1'.
b = -3

Simplifying
b = -3