5m+2=2m+(-7)

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Solution for 5m+2=2m+(-7) equation:


Simplifying
5m + 2 = 2m + (-7)

Reorder the terms:
2 + 5m = 2m + (-7)
2 + 5m = 2m + -7

Reorder the terms:
2 + 5m = -7 + 2m

Solving
2 + 5m = -7 + 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.
2 + 5m + -2m = -7 + 2m + -2m

Combine like terms: 5m + -2m = 3m
2 + 3m = -7 + 2m + -2m

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

Add '-2' to each side of the equation.
2 + -2 + 3m = -7 + -2

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

Combine like terms: -7 + -2 = -9
3m = -9

Divide each side by '3'.
m = -3

Simplifying
m = -3

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