5m+22=8m-5

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Solution for 5m+22=8m-5 equation:


Simplifying
5m + 22 = 8m + -5

Reorder the terms:
22 + 5m = 8m + -5

Reorder the terms:
22 + 5m = -5 + 8m

Solving
22 + 5m = -5 + 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.
22 + 5m + -8m = -5 + 8m + -8m

Combine like terms: 5m + -8m = -3m
22 + -3m = -5 + 8m + -8m

Combine like terms: 8m + -8m = 0
22 + -3m = -5 + 0
22 + -3m = -5

Add '-22' to each side of the equation.
22 + -22 + -3m = -5 + -22

Combine like terms: 22 + -22 = 0
0 + -3m = -5 + -22
-3m = -5 + -22

Combine like terms: -5 + -22 = -27
-3m = -27

Divide each side by '-3'.
m = 9

Simplifying
m = 9

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