2(2n-5)=12+2(n+8)

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Solution for 2(2n-5)=12+2(n+8) equation: 


Simplifying
2(2n + -5) = 12 + 2(n + 8)

Reorder the terms:
2(-5 + 2n) = 12 + 2(n + 8)
(-5 * 2 + 2n * 2) = 12 + 2(n + 8)
(-10 + 4n) = 12 + 2(n + 8)

Reorder the terms:
-10 + 4n = 12 + 2(8 + n)
-10 + 4n = 12 + (8 * 2 + n * 2)
-10 + 4n = 12 + (16 + 2n)

Combine like terms: 12 + 16 = 28
-10 + 4n = 28 + 2n

Solving
-10 + 4n = 28 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-10 + 4n + -2n = 28 + 2n + -2n

Combine like terms: 4n + -2n = 2n
-10 + 2n = 28 + 2n + -2n

Combine like terms: 2n + -2n = 0
-10 + 2n = 28 + 0
-10 + 2n = 28

Add '10' to each side of the equation.
-10 + 10 + 2n = 28 + 10

Combine like terms: -10 + 10 = 0
0 + 2n = 28 + 10
2n = 28 + 10

Combine like terms: 28 + 10 = 38
2n = 38

Divide each side by '2'.
n = 19

Simplifying
n = 19

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