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

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Solution for 4(n+5)=5(n-3) equation:


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

Reorder the terms:
4(5 + n) = 5(n + -3)
(5 * 4 + n * 4) = 5(n + -3)
(20 + 4n) = 5(n + -3)

Reorder the terms:
20 + 4n = 5(-3 + n)
20 + 4n = (-3 * 5 + n * 5)
20 + 4n = (-15 + 5n)

Solving
20 + 4n = -15 + 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.
20 + 4n + -5n = -15 + 5n + -5n

Combine like terms: 4n + -5n = -1n
20 + -1n = -15 + 5n + -5n

Combine like terms: 5n + -5n = 0
20 + -1n = -15 + 0
20 + -1n = -15

Add '-20' to each side of the equation.
20 + -20 + -1n = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -1n = -15 + -20
-1n = -15 + -20

Combine like terms: -15 + -20 = -35
-1n = -35

Divide each side by '-1'.
n = 35

Simplifying
n = 35

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