2(b-21)+4(b-3)=48

Solution for 2(b-21)+4(b-3)=48 equation:

Simplifying
2(b + -21) + 4(b + -3) = 48

Reorder the terms:
2(-21 + b) + 4(b + -3) = 48
(-21 * 2 + b * 2) + 4(b + -3) = 48
(-42 + 2b) + 4(b + -3) = 48

Reorder the terms:
-42 + 2b + 4(-3 + b) = 48
-42 + 2b + (-3 * 4 + b * 4) = 48
-42 + 2b + (-12 + 4b) = 48

Reorder the terms:
-42 + -12 + 2b + 4b = 48

Combine like terms: -42 + -12 = -54
-54 + 2b + 4b = 48

Combine like terms: 2b + 4b = 6b
-54 + 6b = 48

Solving
-54 + 6b = 48

Solving for variable 'b'.

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

Add '54' to each side of the equation.
-54 + 54 + 6b = 48 + 54

Combine like terms: -54 + 54 = 0
0 + 6b = 48 + 54
6b = 48 + 54

Combine like terms: 48 + 54 = 102
6b = 102

Divide each side by '6'.
b = 17

Simplifying
b = 17