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

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


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

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

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

Solving
10 + 2n = -10 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
10 + 2n + -6n = -10 + 6n + -6n

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

Combine like terms: 6n + -6n = 0
10 + -4n = -10 + 0
10 + -4n = -10

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

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

Combine like terms: -10 + -10 = -20
-4n = -20

Divide each side by '-4'.
n = 5

Simplifying
n = 5

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