3m+10=5m-20

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Solution for 3m+10=5m-20 equation:


Simplifying
3m + 10 = 5m + -20

Reorder the terms:
10 + 3m = 5m + -20

Reorder the terms:
10 + 3m = -20 + 5m

Solving
10 + 3m = -20 + 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 + 3m + -5m = -20 + 5m + -5m

Combine like terms: 3m + -5m = -2m
10 + -2m = -20 + 5m + -5m

Combine like terms: 5m + -5m = 0
10 + -2m = -20 + 0
10 + -2m = -20

Add '-10' to each side of the equation.
10 + -10 + -2m = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -2m = -20 + -10
-2m = -20 + -10

Combine like terms: -20 + -10 = -30
-2m = -30

Divide each side by '-2'.
m = 15

Simplifying
m = 15

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