4m+2=5m-8

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Solution for 4m+2=5m-8 equation:


Simplifying
4m + 2 = 5m + -8

Reorder the terms:
2 + 4m = 5m + -8

Reorder the terms:
2 + 4m = -8 + 5m

Solving
2 + 4m = -8 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
2 + 4m + -5m = -8 + 5m + -5m

Combine like terms: 4m + -5m = -1m
2 + -1m = -8 + 5m + -5m

Combine like terms: 5m + -5m = 0
2 + -1m = -8 + 0
2 + -1m = -8

Add '-2' to each side of the equation.
2 + -2 + -1m = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = -8 + -2
-1m = -8 + -2

Combine like terms: -8 + -2 = -10
-1m = -10

Divide each side by '-1'.
m = 10

Simplifying
m = 10

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