2(3n-5)=(2n+8)+5

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Solution for 2(3n-5)=(2n+8)+5 equation:


Simplifying
2(3n + -5) = (2n + 8) + 5

Reorder the terms:
2(-5 + 3n) = (2n + 8) + 5
(-5 * 2 + 3n * 2) = (2n + 8) + 5
(-10 + 6n) = (2n + 8) + 5

Reorder the terms:
-10 + 6n = (8 + 2n) + 5

Remove parenthesis around (8 + 2n)
-10 + 6n = 8 + 2n + 5

Reorder the terms:
-10 + 6n = 8 + 5 + 2n

Combine like terms: 8 + 5 = 13
-10 + 6n = 13 + 2n

Solving
-10 + 6n = 13 + 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 + 6n + -2n = 13 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-10 + 4n = 13 + 2n + -2n

Combine like terms: 2n + -2n = 0
-10 + 4n = 13 + 0
-10 + 4n = 13

Add '10' to each side of the equation.
-10 + 10 + 4n = 13 + 10

Combine like terms: -10 + 10 = 0
0 + 4n = 13 + 10
4n = 13 + 10

Combine like terms: 13 + 10 = 23
4n = 23

Divide each side by '4'.
n = 5.75

Simplifying
n = 5.75

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