3m+5=4m-10

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Solution for 3m+5=4m-10 equation:


Simplifying
3m + 5 = 4m + -10

Reorder the terms:
5 + 3m = 4m + -10

Reorder the terms:
5 + 3m = -10 + 4m

Solving
5 + 3m = -10 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
5 + 3m + -4m = -10 + 4m + -4m

Combine like terms: 3m + -4m = -1m
5 + -1m = -10 + 4m + -4m

Combine like terms: 4m + -4m = 0
5 + -1m = -10 + 0
5 + -1m = -10

Add '-5' to each side of the equation.
5 + -5 + -1m = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = -10 + -5
-1m = -10 + -5

Combine like terms: -10 + -5 = -15
-1m = -15

Divide each side by '-1'.
m = 15

Simplifying
m = 15

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