3m+5=8m-10

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Solution for 3m+5=8m-10 equation:


Simplifying
3m + 5 = 8m + -10

Reorder the terms:
5 + 3m = 8m + -10

Reorder the terms:
5 + 3m = -10 + 8m

Solving
5 + 3m = -10 + 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.
5 + 3m + -8m = -10 + 8m + -8m

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

Combine like terms: 8m + -8m = 0
5 + -5m = -10 + 0
5 + -5m = -10

Add '-5' to each side of the equation.
5 + -5 + -5m = -10 + -5

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

Combine like terms: -10 + -5 = -15
-5m = -15

Divide each side by '-5'.
m = 3

Simplifying
m = 3

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