3(b-1)=2(5-4b)-b

Solution for 3(b-1)=2(5-4b)-b equation:

Simplifying
3(b + -1) = 2(5 + -4b) + -1b

Reorder the terms:
3(-1 + b) = 2(5 + -4b) + -1b
(-1 * 3 + b * 3) = 2(5 + -4b) + -1b
(-3 + 3b) = 2(5 + -4b) + -1b
-3 + 3b = (5 * 2 + -4b * 2) + -1b
-3 + 3b = (10 + -8b) + -1b

Combine like terms: -8b + -1b = -9b
-3 + 3b = 10 + -9b

Solving
-3 + 3b = 10 + -9b

Solving for variable 'b'.

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

Add '9b' to each side of the equation.
-3 + 3b + 9b = 10 + -9b + 9b

Combine like terms: 3b + 9b = 12b
-3 + 12b = 10 + -9b + 9b

Combine like terms: -9b + 9b = 0
-3 + 12b = 10 + 0
-3 + 12b = 10

Add '3' to each side of the equation.
-3 + 3 + 12b = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 12b = 10 + 3
12b = 10 + 3

Combine like terms: 10 + 3 = 13
12b = 13

Divide each side by '12'.
b = 1.083333333

Simplifying
b = 1.083333333