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

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


Simplifying
-2(m + -5) = -1(5m + 2)

Reorder the terms:
-2(-5 + m) = -1(5m + 2)
(-5 * -2 + m * -2) = -1(5m + 2)
(10 + -2m) = -1(5m + 2)

Reorder the terms:
10 + -2m = -1(2 + 5m)
10 + -2m = (2 * -1 + 5m * -1)
10 + -2m = (-2 + -5m)

Solving
10 + -2m = -2 + -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.
10 + -2m + 5m = -2 + -5m + 5m

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

Combine like terms: -5m + 5m = 0
10 + 3m = -2 + 0
10 + 3m = -2

Add '-10' to each side of the equation.
10 + -10 + 3m = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 3m = -2 + -10
3m = -2 + -10

Combine like terms: -2 + -10 = -12
3m = -12

Divide each side by '3'.
m = -4

Simplifying
m = -4

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