5m+2=3m-8

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Solution for 5m+2=3m-8 equation:


Simplifying
5m + 2 = 3m + -8

Reorder the terms:
2 + 5m = 3m + -8

Reorder the terms:
2 + 5m = -8 + 3m

Solving
2 + 5m = -8 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
2 + 5m + -3m = -8 + 3m + -3m

Combine like terms: 5m + -3m = 2m
2 + 2m = -8 + 3m + -3m

Combine like terms: 3m + -3m = 0
2 + 2m = -8 + 0
2 + 2m = -8

Add '-2' to each side of the equation.
2 + -2 + 2m = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 2m = -8 + -2
2m = -8 + -2

Combine like terms: -8 + -2 = -10
2m = -10

Divide each side by '2'.
m = -5

Simplifying
m = -5

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