2m+10=5m+100

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Solution for 2m+10=5m+100 equation:


Simplifying
2m + 10 = 5m + 100

Reorder the terms:
10 + 2m = 5m + 100

Reorder the terms:
10 + 2m = 100 + 5m

Solving
10 + 2m = 100 + 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.
10 + 2m + -5m = 100 + 5m + -5m

Combine like terms: 2m + -5m = -3m
10 + -3m = 100 + 5m + -5m

Combine like terms: 5m + -5m = 0
10 + -3m = 100 + 0
10 + -3m = 100

Add '-10' to each side of the equation.
10 + -10 + -3m = 100 + -10

Combine like terms: 10 + -10 = 0
0 + -3m = 100 + -10
-3m = 100 + -10

Combine like terms: 100 + -10 = 90
-3m = 90

Divide each side by '-3'.
m = -30

Simplifying
m = -30

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