7m-5=3m-13

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


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

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

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

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

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

Combine like terms: 3m + -3m = 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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