(m-2)-5=8-2m+8

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Solution for (m-2)-5=8-2m+8 equation:


Simplifying
(m + -2) + -5 = 8 + -2m + 8

Reorder the terms:
(-2 + m) + -5 = 8 + -2m + 8

Remove parenthesis around (-2 + m)
-2 + m + -5 = 8 + -2m + 8

Reorder the terms:
-2 + -5 + m = 8 + -2m + 8

Combine like terms: -2 + -5 = -7
-7 + m = 8 + -2m + 8

Reorder the terms:
-7 + m = 8 + 8 + -2m

Combine like terms: 8 + 8 = 16
-7 + m = 16 + -2m

Solving
-7 + m = 16 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-7 + m + 2m = 16 + -2m + 2m

Combine like terms: m + 2m = 3m
-7 + 3m = 16 + -2m + 2m

Combine like terms: -2m + 2m = 0
-7 + 3m = 16 + 0
-7 + 3m = 16

Add '7' to each side of the equation.
-7 + 7 + 3m = 16 + 7

Combine like terms: -7 + 7 = 0
0 + 3m = 16 + 7
3m = 16 + 7

Combine like terms: 16 + 7 = 23
3m = 23

Divide each side by '3'.
m = 7.666666667

Simplifying
m = 7.666666667

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