2(3-4b)=60-2b-3(3b+11)

Solution for 2(3-4b)=60-2b-3(3b+11) equation:

Simplifying
2(3 + -4b) = 60 + -2b + -3(3b + 11)
(3 * 2 + -4b * 2) = 60 + -2b + -3(3b + 11)
(6 + -8b) = 60 + -2b + -3(3b + 11)

Reorder the terms:
6 + -8b = 60 + -2b + -3(11 + 3b)
6 + -8b = 60 + -2b + (11 * -3 + 3b * -3)
6 + -8b = 60 + -2b + (-33 + -9b)

Reorder the terms:
6 + -8b = 60 + -33 + -2b + -9b

Combine like terms: 60 + -33 = 27
6 + -8b = 27 + -2b + -9b

Combine like terms: -2b + -9b = -11b
6 + -8b = 27 + -11b

Solving
6 + -8b = 27 + -11b

Solving for variable 'b'.

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

Add '11b' to each side of the equation.
6 + -8b + 11b = 27 + -11b + 11b

Combine like terms: -8b + 11b = 3b
6 + 3b = 27 + -11b + 11b

Combine like terms: -11b + 11b = 0
6 + 3b = 27 + 0
6 + 3b = 27

Add '-6' to each side of the equation.
6 + -6 + 3b = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 3b = 27 + -6
3b = 27 + -6

Combine like terms: 27 + -6 = 21
3b = 21

Divide each side by '3'.
b = 7

Simplifying
b = 7