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

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


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

Reorder the terms:
5m + -2(2 + m) = -1(2m + 5)
5m + (2 * -2 + m * -2) = -1(2m + 5)
5m + (-4 + -2m) = -1(2m + 5)

Reorder the terms:
-4 + 5m + -2m = -1(2m + 5)

Combine like terms: 5m + -2m = 3m
-4 + 3m = -1(2m + 5)

Reorder the terms:
-4 + 3m = -1(5 + 2m)
-4 + 3m = (5 * -1 + 2m * -1)
-4 + 3m = (-5 + -2m)

Solving
-4 + 3m = -5 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-4 + 3m + 2m = -5 + -2m + 2m

Combine like terms: 3m + 2m = 5m
-4 + 5m = -5 + -2m + 2m

Combine like terms: -2m + 2m = 0
-4 + 5m = -5 + 0
-4 + 5m = -5

Add '4' to each side of the equation.
-4 + 4 + 5m = -5 + 4

Combine like terms: -4 + 4 = 0
0 + 5m = -5 + 4
5m = -5 + 4

Combine like terms: -5 + 4 = -1
5m = -1

Divide each side by '5'.
m = -0.2

Simplifying
m = -0.2

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