5(n-2)=3(n+4)

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Solution for 5(n-2)=3(n+4) equation:


Simplifying
5(n + -2) = 3(n + 4)

Reorder the terms:
5(-2 + n) = 3(n + 4)
(-2 * 5 + n * 5) = 3(n + 4)
(-10 + 5n) = 3(n + 4)

Reorder the terms:
-10 + 5n = 3(4 + n)
-10 + 5n = (4 * 3 + n * 3)
-10 + 5n = (12 + 3n)

Solving
-10 + 5n = 12 + 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.
-10 + 5n + -3n = 12 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-10 + 2n = 12 + 3n + -3n

Combine like terms: 3n + -3n = 0
-10 + 2n = 12 + 0
-10 + 2n = 12

Add '10' to each side of the equation.
-10 + 10 + 2n = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 2n = 12 + 10
2n = 12 + 10

Combine like terms: 12 + 10 = 22
2n = 22

Divide each side by '2'.
n = 11

Simplifying
n = 11

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