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

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


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

Reorder the terms:
5(-5 + 2n) = (5n + 5) + 3
(-5 * 5 + 2n * 5) = (5n + 5) + 3
(-25 + 10n) = (5n + 5) + 3

Reorder the terms:
-25 + 10n = (5 + 5n) + 3

Remove parenthesis around (5 + 5n)
-25 + 10n = 5 + 5n + 3

Reorder the terms:
-25 + 10n = 5 + 3 + 5n

Combine like terms: 5 + 3 = 8
-25 + 10n = 8 + 5n

Solving
-25 + 10n = 8 + 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.
-25 + 10n + -5n = 8 + 5n + -5n

Combine like terms: 10n + -5n = 5n
-25 + 5n = 8 + 5n + -5n

Combine like terms: 5n + -5n = 0
-25 + 5n = 8 + 0
-25 + 5n = 8

Add '25' to each side of the equation.
-25 + 25 + 5n = 8 + 25

Combine like terms: -25 + 25 = 0
0 + 5n = 8 + 25
5n = 8 + 25

Combine like terms: 8 + 25 = 33
5n = 33

Divide each side by '5'.
n = 6.6

Simplifying
n = 6.6

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