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

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


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

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

Reorder the terms:
-15 + -3m = -5(-5 + m)
-15 + -3m = (-5 * -5 + m * -5)
-15 + -3m = (25 + -5m)

Solving
-15 + -3m = 25 + -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.
-15 + -3m + 5m = 25 + -5m + 5m

Combine like terms: -3m + 5m = 2m
-15 + 2m = 25 + -5m + 5m

Combine like terms: -5m + 5m = 0
-15 + 2m = 25 + 0
-15 + 2m = 25

Add '15' to each side of the equation.
-15 + 15 + 2m = 25 + 15

Combine like terms: -15 + 15 = 0
0 + 2m = 25 + 15
2m = 25 + 15

Combine like terms: 25 + 15 = 40
2m = 40

Divide each side by '2'.
m = 20

Simplifying
m = 20

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