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

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


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

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

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

Combine like terms: 50 + 12 = 62
-46 + 2m = 62 + -4m

Solving
-46 + 2m = 62 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
-46 + 2m + 4m = 62 + -4m + 4m

Combine like terms: 2m + 4m = 6m
-46 + 6m = 62 + -4m + 4m

Combine like terms: -4m + 4m = 0
-46 + 6m = 62 + 0
-46 + 6m = 62

Add '46' to each side of the equation.
-46 + 46 + 6m = 62 + 46

Combine like terms: -46 + 46 = 0
0 + 6m = 62 + 46
6m = 62 + 46

Combine like terms: 62 + 46 = 108
6m = 108

Divide each side by '6'.
m = 18

Simplifying
m = 18

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