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

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

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

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

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

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

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

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

Solving
-54 + 6m = 48

Solving for variable 'm'.

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

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

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

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

Divide each side by '6'.
m = 17

Simplifying
m = 17