5n-2=4(n+2)

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


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

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

Reorder the terms:
-2 + 5n = 4(2 + n)
-2 + 5n = (2 * 4 + n * 4)
-2 + 5n = (8 + 4n)

Solving
-2 + 5n = 8 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-2 + 5n + -4n = 8 + 4n + -4n

Combine like terms: 5n + -4n = 1n
-2 + 1n = 8 + 4n + -4n

Combine like terms: 4n + -4n = 0
-2 + 1n = 8 + 0
-2 + 1n = 8

Add '2' to each side of the equation.
-2 + 2 + 1n = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 1n = 8 + 2
1n = 8 + 2

Combine like terms: 8 + 2 = 10
1n = 10

Divide each side by '1'.
n = 10

Simplifying
n = 10

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