5m+3=2m-13

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Solution for 5m+3=2m-13 equation:


Simplifying
5m + 3 = 2m + -13

Reorder the terms:
3 + 5m = 2m + -13

Reorder the terms:
3 + 5m = -13 + 2m

Solving
3 + 5m = -13 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
3 + 5m + -2m = -13 + 2m + -2m

Combine like terms: 5m + -2m = 3m
3 + 3m = -13 + 2m + -2m

Combine like terms: 2m + -2m = 0
3 + 3m = -13 + 0
3 + 3m = -13

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

Combine like terms: 3 + -3 = 0
0 + 3m = -13 + -3
3m = -13 + -3

Combine like terms: -13 + -3 = -16
3m = -16

Divide each side by '3'.
m = -5.333333333

Simplifying
m = -5.333333333

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