2m+5=5(m-7)

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Solution for 2m+5=5(m-7) equation:


Simplifying
2m + 5 = 5(m + -7)

Reorder the terms:
5 + 2m = 5(m + -7)

Reorder the terms:
5 + 2m = 5(-7 + m)
5 + 2m = (-7 * 5 + m * 5)
5 + 2m = (-35 + 5m)

Solving
5 + 2m = -35 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
5 + 2m + -5m = -35 + 5m + -5m

Combine like terms: 2m + -5m = -3m
5 + -3m = -35 + 5m + -5m

Combine like terms: 5m + -5m = 0
5 + -3m = -35 + 0
5 + -3m = -35

Add '-5' to each side of the equation.
5 + -5 + -3m = -35 + -5

Combine like terms: 5 + -5 = 0
0 + -3m = -35 + -5
-3m = -35 + -5

Combine like terms: -35 + -5 = -40
-3m = -40

Divide each side by '-3'.
m = 13.33333333

Simplifying
m = 13.33333333

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