5m-10=8m+14

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Solution for 5m-10=8m+14 equation:


Simplifying
5m + -10 = 8m + 14

Reorder the terms:
-10 + 5m = 8m + 14

Reorder the terms:
-10 + 5m = 14 + 8m

Solving
-10 + 5m = 14 + 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.
-10 + 5m + -8m = 14 + 8m + -8m

Combine like terms: 5m + -8m = -3m
-10 + -3m = 14 + 8m + -8m

Combine like terms: 8m + -8m = 0
-10 + -3m = 14 + 0
-10 + -3m = 14

Add '10' to each side of the equation.
-10 + 10 + -3m = 14 + 10

Combine like terms: -10 + 10 = 0
0 + -3m = 14 + 10
-3m = 14 + 10

Combine like terms: 14 + 10 = 24
-3m = 24

Divide each side by '-3'.
m = -8

Simplifying
m = -8

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