5b-3(4-b)=2(b+21)

Solution for 5b-3(4-b)=2(b+21) equation:

Simplifying
5b + -3(4 + -1b) = 2(b + 21)
5b + (4 * -3 + -1b * -3) = 2(b + 21)
5b + (-12 + 3b) = 2(b + 21)

Reorder the terms:
-12 + 5b + 3b = 2(b + 21)

Combine like terms: 5b + 3b = 8b
-12 + 8b = 2(b + 21)

Reorder the terms:
-12 + 8b = 2(21 + b)
-12 + 8b = (21 * 2 + b * 2)
-12 + 8b = (42 + 2b)

Solving
-12 + 8b = 42 + 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.
-12 + 8b + -2b = 42 + 2b + -2b

Combine like terms: 8b + -2b = 6b
-12 + 6b = 42 + 2b + -2b

Combine like terms: 2b + -2b = 0
-12 + 6b = 42 + 0
-12 + 6b = 42

Add '12' to each side of the equation.
-12 + 12 + 6b = 42 + 12

Combine like terms: -12 + 12 = 0
0 + 6b = 42 + 12
6b = 42 + 12

Combine like terms: 42 + 12 = 54
6b = 54

Divide each side by '6'.
b = 9

Simplifying
b = 9