5(2n-3)=(5n+8)+6

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Solution for 5(2n-3)=(5n+8)+6 equation:


Simplifying
5(2n + -3) = (5n + 8) + 6

Reorder the terms:
5(-3 + 2n) = (5n + 8) + 6
(-3 * 5 + 2n * 5) = (5n + 8) + 6
(-15 + 10n) = (5n + 8) + 6

Reorder the terms:
-15 + 10n = (8 + 5n) + 6

Remove parenthesis around (8 + 5n)
-15 + 10n = 8 + 5n + 6

Reorder the terms:
-15 + 10n = 8 + 6 + 5n

Combine like terms: 8 + 6 = 14
-15 + 10n = 14 + 5n

Solving
-15 + 10n = 14 + 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.
-15 + 10n + -5n = 14 + 5n + -5n

Combine like terms: 10n + -5n = 5n
-15 + 5n = 14 + 5n + -5n

Combine like terms: 5n + -5n = 0
-15 + 5n = 14 + 0
-15 + 5n = 14

Add '15' to each side of the equation.
-15 + 15 + 5n = 14 + 15

Combine like terms: -15 + 15 = 0
0 + 5n = 14 + 15
5n = 14 + 15

Combine like terms: 14 + 15 = 29
5n = 29

Divide each side by '5'.
n = 5.8

Simplifying
n = 5.8

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