5m+2=8m-7

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Solution for 5m+2=8m-7 equation:


Simplifying
5m + 2 = 8m + -7

Reorder the terms:
2 + 5m = 8m + -7

Reorder the terms:
2 + 5m = -7 + 8m

Solving
2 + 5m = -7 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
2 + 5m + -8m = -7 + 8m + -8m

Combine like terms: 5m + -8m = -3m
2 + -3m = -7 + 8m + -8m

Combine like terms: 8m + -8m = 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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