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

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


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

Reorder the terms:
5(-5 + 2n) = 3(n + 8)
(-5 * 5 + 2n * 5) = 3(n + 8)
(-25 + 10n) = 3(n + 8)

Reorder the terms:
-25 + 10n = 3(8 + n)
-25 + 10n = (8 * 3 + n * 3)
-25 + 10n = (24 + 3n)

Solving
-25 + 10n = 24 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-25 + 10n + -3n = 24 + 3n + -3n

Combine like terms: 10n + -3n = 7n
-25 + 7n = 24 + 3n + -3n

Combine like terms: 3n + -3n = 0
-25 + 7n = 24 + 0
-25 + 7n = 24

Add '25' to each side of the equation.
-25 + 25 + 7n = 24 + 25

Combine like terms: -25 + 25 = 0
0 + 7n = 24 + 25
7n = 24 + 25

Combine like terms: 24 + 25 = 49
7n = 49

Divide each side by '7'.
n = 7

Simplifying
n = 7

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