3m-5=7m-13

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Solution for 3m-5=7m-13 equation:


Simplifying
3m + -5 = 7m + -13

Reorder the terms:
-5 + 3m = 7m + -13

Reorder the terms:
-5 + 3m = -13 + 7m

Solving
-5 + 3m = -13 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-5 + 3m + -7m = -13 + 7m + -7m

Combine like terms: 3m + -7m = -4m
-5 + -4m = -13 + 7m + -7m

Combine like terms: 7m + -7m = 0
-5 + -4m = -13 + 0
-5 + -4m = -13

Add '5' to each side of the equation.
-5 + 5 + -4m = -13 + 5

Combine like terms: -5 + 5 = 0
0 + -4m = -13 + 5
-4m = -13 + 5

Combine like terms: -13 + 5 = -8
-4m = -8

Divide each side by '-4'.
m = 2

Simplifying
m = 2

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