2(n-4)=5n-8

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


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

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

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

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

Combine like terms: -8 + 8 = 0
0 + 2n = -8 + 8 + 5n
2n = -8 + 8 + 5n

Combine like terms: -8 + 8 = 0
2n = 0 + 5n
2n = 5n

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

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

Combine like terms: 5n + -5n = 0
-3n = 0

Divide each side by '-3'.
n = 0

Simplifying
n = 0

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