2(b-21)=41-3(b-4)

Solution for 2(b-21)=41-3(b-4) equation:

Simplifying
2(b + -21) = 41 + -3(b + -4)

Reorder the terms:
2(-21 + b) = 41 + -3(b + -4)
(-21 * 2 + b * 2) = 41 + -3(b + -4)
(-42 + 2b) = 41 + -3(b + -4)

Reorder the terms:
-42 + 2b = 41 + -3(-4 + b)
-42 + 2b = 41 + (-4 * -3 + b * -3)
-42 + 2b = 41 + (12 + -3b)

Combine like terms: 41 + 12 = 53
-42 + 2b = 53 + -3b

Solving
-42 + 2b = 53 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
-42 + 2b + 3b = 53 + -3b + 3b

Combine like terms: 2b + 3b = 5b
-42 + 5b = 53 + -3b + 3b

Combine like terms: -3b + 3b = 0
-42 + 5b = 53 + 0
-42 + 5b = 53

Add '42' to each side of the equation.
-42 + 42 + 5b = 53 + 42

Combine like terms: -42 + 42 = 0
0 + 5b = 53 + 42
5b = 53 + 42

Combine like terms: 53 + 42 = 95
5b = 95

Divide each side by '5'.
b = 19

Simplifying
b = 19