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

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Solution for 2(m+5)=-3(m-5) equation: 


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

Reorder the terms:
2(5 + m) = -3(m + -5)
(5 * 2 + m * 2) = -3(m + -5)
(10 + 2m) = -3(m + -5)

Reorder the terms:
10 + 2m = -3(-5 + m)
10 + 2m = (-5 * -3 + m * -3)
10 + 2m = (15 + -3m)

Solving
10 + 2m = 15 + -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.
10 + 2m + 3m = 15 + -3m + 3m

Combine like terms: 2m + 3m = 5m
10 + 5m = 15 + -3m + 3m

Combine like terms: -3m + 3m = 0
10 + 5m = 15 + 0
10 + 5m = 15

Add '-10' to each side of the equation.
10 + -10 + 5m = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 5m = 15 + -10
5m = 15 + -10

Combine like terms: 15 + -10 = 5
5m = 5

Divide each side by '5'.
m = 1

Simplifying
m = 1

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