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

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


Simplifying
-1(n + 2) = 2n + 2(-3n + 5)

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

Reorder the terms:
-2 + -1n = 2n + 2(5 + -3n)
-2 + -1n = 2n + (5 * 2 + -3n * 2)
-2 + -1n = 2n + (10 + -6n)

Reorder the terms:
-2 + -1n = 10 + 2n + -6n

Combine like terms: 2n + -6n = -4n
-2 + -1n = 10 + -4n

Solving
-2 + -1n = 10 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-2 + -1n + 4n = 10 + -4n + 4n

Combine like terms: -1n + 4n = 3n
-2 + 3n = 10 + -4n + 4n

Combine like terms: -4n + 4n = 0
-2 + 3n = 10 + 0
-2 + 3n = 10

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

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

Combine like terms: 10 + 2 = 12
3n = 12

Divide each side by '3'.
n = 4

Simplifying
n = 4

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