5m-2=3m+1

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Solution for 5m-2=3m+1 equation:


Simplifying
5m + -2 = 3m + 1

Reorder the terms:
-2 + 5m = 3m + 1

Reorder the terms:
-2 + 5m = 1 + 3m

Solving
-2 + 5m = 1 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-2 + 5m + -3m = 1 + 3m + -3m

Combine like terms: 5m + -3m = 2m
-2 + 2m = 1 + 3m + -3m

Combine like terms: 3m + -3m = 0
-2 + 2m = 1 + 0
-2 + 2m = 1

Add '2' to each side of the equation.
-2 + 2 + 2m = 1 + 2

Combine like terms: -2 + 2 = 0
0 + 2m = 1 + 2
2m = 1 + 2

Combine like terms: 1 + 2 = 3
2m = 3

Divide each side by '2'.
m = 1.5

Simplifying
m = 1.5

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