3(2-b)=4b-[5b+1-3(5-2b)]

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

Simplifying
3(2 + -1b) = 4b + -1[5b + 1 + -3(5 + -2b)]
(2 * 3 + -1b * 3) = 4b + -1[5b + 1 + -3(5 + -2b)]
(6 + -3b) = 4b + -1[5b + 1 + -3(5 + -2b)]
6 + -3b = 4b + -1[5b + 1 + (5 * -3 + -2b * -3)]
6 + -3b = 4b + -1[5b + 1 + (-15 + 6b)]

Reorder the terms:
6 + -3b = 4b + -1[1 + -15 + 5b + 6b]

Combine like terms: 1 + -15 = -14
6 + -3b = 4b + -1[-14 + 5b + 6b]

Combine like terms: 5b + 6b = 11b
6 + -3b = 4b + -1[-14 + 11b]
6 + -3b = 4b + [-14 * -1 + 11b * -1]
6 + -3b = 4b + [14 + -11b]

Reorder the terms:
6 + -3b = 14 + 4b + -11b

Combine like terms: 4b + -11b = -7b
6 + -3b = 14 + -7b

Solving
6 + -3b = 14 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
6 + -3b + 7b = 14 + -7b + 7b

Combine like terms: -3b + 7b = 4b
6 + 4b = 14 + -7b + 7b

Combine like terms: -7b + 7b = 0
6 + 4b = 14 + 0
6 + 4b = 14

Add '-6' to each side of the equation.
6 + -6 + 4b = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 4b = 14 + -6
4b = 14 + -6

Combine like terms: 14 + -6 = 8
4b = 8

Divide each side by '4'.
b = 2

Simplifying
b = 2