7+5m-2=7m+17-4m

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Solution for 7+5m-2=7m+17-4m equation:


Simplifying
7 + 5m + -2 = 7m + 17 + -4m

Reorder the terms:
7 + -2 + 5m = 7m + 17 + -4m

Combine like terms: 7 + -2 = 5
5 + 5m = 7m + 17 + -4m

Reorder the terms:
5 + 5m = 17 + 7m + -4m

Combine like terms: 7m + -4m = 3m
5 + 5m = 17 + 3m

Solving
5 + 5m = 17 + 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 + 5m + -3m = 17 + 3m + -3m

Combine like terms: 5m + -3m = 2m
5 + 2m = 17 + 3m + -3m

Combine like terms: 3m + -3m = 0
5 + 2m = 17 + 0
5 + 2m = 17

Add '-5' to each side of the equation.
5 + -5 + 2m = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 2m = 17 + -5
2m = 17 + -5

Combine like terms: 17 + -5 = 12
2m = 12

Divide each side by '2'.
m = 6

Simplifying
m = 6

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