3m-10+2=(4m-5)

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Solution for 3m-10+2=(4m-5) equation:


Simplifying
3m + -10 + 2 = (4m + -5)

Reorder the terms:
-10 + 2 + 3m = (4m + -5)

Combine like terms: -10 + 2 = -8
-8 + 3m = (4m + -5)

Reorder the terms:
-8 + 3m = (-5 + 4m)

Remove parenthesis around (-5 + 4m)
-8 + 3m = -5 + 4m

Solving
-8 + 3m = -5 + 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.
-8 + 3m + -4m = -5 + 4m + -4m

Combine like terms: 3m + -4m = -1m
-8 + -1m = -5 + 4m + -4m

Combine like terms: 4m + -4m = 0
-8 + -1m = -5 + 0
-8 + -1m = -5

Add '8' to each side of the equation.
-8 + 8 + -1m = -5 + 8

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

Combine like terms: -5 + 8 = 3
-1m = 3

Divide each side by '-1'.
m = -3

Simplifying
m = -3

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