2(n+5)=5n-5

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


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

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

Reorder the terms:
10 + 2n = -5 + 5n

Solving
10 + 2n = -5 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
10 + 2n + -5n = -5 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
10 + -3n = -5 + 0
10 + -3n = -5

Add '-10' to each side of the equation.
10 + -10 + -3n = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -3n = -5 + -10
-3n = -5 + -10

Combine like terms: -5 + -10 = -15
-3n = -15

Divide each side by '-3'.
n = 5

Simplifying
n = 5

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