2(m-23)+4(m-3)=50

Solution for 2(m-23)+4(m-3)=50 equation:

Simplifying
2(m + -23) + 4(m + -3) = 50

Reorder the terms:
2(-23 + m) + 4(m + -3) = 50
(-23 * 2 + m * 2) + 4(m + -3) = 50
(-46 + 2m) + 4(m + -3) = 50

Reorder the terms:
-46 + 2m + 4(-3 + m) = 50
-46 + 2m + (-3 * 4 + m * 4) = 50
-46 + 2m + (-12 + 4m) = 50

Reorder the terms:
-46 + -12 + 2m + 4m = 50

Combine like terms: -46 + -12 = -58
-58 + 2m + 4m = 50

Combine like terms: 2m + 4m = 6m
-58 + 6m = 50

Solving
-58 + 6m = 50

Solving for variable 'm'.

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

Add '58' to each side of the equation.
-58 + 58 + 6m = 50 + 58

Combine like terms: -58 + 58 = 0
0 + 6m = 50 + 58
6m = 50 + 58

Combine like terms: 50 + 58 = 108
6m = 108

Divide each side by '6'.
m = 18

Simplifying
m = 18