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

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

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

Reorder the terms:
60 + -2b + -3(11 + 3b) = 2(3 + -4b)
60 + -2b + (11 * -3 + 3b * -3) = 2(3 + -4b)
60 + -2b + (-33 + -9b) = 2(3 + -4b)

Reorder the terms:
60 + -33 + -2b + -9b = 2(3 + -4b)

Combine like terms: 60 + -33 = 27
27 + -2b + -9b = 2(3 + -4b)

Combine like terms: -2b + -9b = -11b
27 + -11b = 2(3 + -4b)
27 + -11b = (3 * 2 + -4b * 2)
27 + -11b = (6 + -8b)

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

Solving for variable 'b'.

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

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

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

Combine like terms: -8b + 8b = 0
27 + -3b = 6 + 0
27 + -3b = 6

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

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

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

Divide each side by '-3'.
b = 7

Simplifying
b = 7