5m+17=3(m-5)+7

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Solution for 5m+17=3(m-5)+7 equation:


Simplifying
5m + 17 = 3(m + -5) + 7

Reorder the terms:
17 + 5m = 3(m + -5) + 7

Reorder the terms:
17 + 5m = 3(-5 + m) + 7
17 + 5m = (-5 * 3 + m * 3) + 7
17 + 5m = (-15 + 3m) + 7

Reorder the terms:
17 + 5m = -15 + 7 + 3m

Combine like terms: -15 + 7 = -8
17 + 5m = -8 + 3m

Solving
17 + 5m = -8 + 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.
17 + 5m + -3m = -8 + 3m + -3m

Combine like terms: 5m + -3m = 2m
17 + 2m = -8 + 3m + -3m

Combine like terms: 3m + -3m = 0
17 + 2m = -8 + 0
17 + 2m = -8

Add '-17' to each side of the equation.
17 + -17 + 2m = -8 + -17

Combine like terms: 17 + -17 = 0
0 + 2m = -8 + -17
2m = -8 + -17

Combine like terms: -8 + -17 = -25
2m = -25

Divide each side by '2'.
m = -12.5

Simplifying
m = -12.5

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