2(3n-1)+4n=5(n+2)+8

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Solution for 2(3n-1)+4n=5(n+2)+8 equation:


Simplifying
2(3n + -1) + 4n = 5(n + 2) + 8

Reorder the terms:
2(-1 + 3n) + 4n = 5(n + 2) + 8
(-1 * 2 + 3n * 2) + 4n = 5(n + 2) + 8
(-2 + 6n) + 4n = 5(n + 2) + 8

Combine like terms: 6n + 4n = 10n
-2 + 10n = 5(n + 2) + 8

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

Reorder the terms:
-2 + 10n = 10 + 8 + 5n

Combine like terms: 10 + 8 = 18
-2 + 10n = 18 + 5n

Solving
-2 + 10n = 18 + 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.
-2 + 10n + -5n = 18 + 5n + -5n

Combine like terms: 10n + -5n = 5n
-2 + 5n = 18 + 5n + -5n

Combine like terms: 5n + -5n = 0
-2 + 5n = 18 + 0
-2 + 5n = 18

Add '2' to each side of the equation.
-2 + 2 + 5n = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 5n = 18 + 2
5n = 18 + 2

Combine like terms: 18 + 2 = 20
5n = 20

Divide each side by '5'.
n = 4

Simplifying
n = 4

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