2(x-4)=4(n+2)-n

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


Simplifying
2(x + -4) = 4(n + 2) + -1n

Reorder the terms:
2(-4 + x) = 4(n + 2) + -1n
(-4 * 2 + x * 2) = 4(n + 2) + -1n
(-8 + 2x) = 4(n + 2) + -1n

Reorder the terms:
-8 + 2x = 4(2 + n) + -1n
-8 + 2x = (2 * 4 + n * 4) + -1n
-8 + 2x = (8 + 4n) + -1n

Combine like terms: 4n + -1n = 3n
-8 + 2x = 8 + 3n

Solving
-8 + 2x = 8 + 3n

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 8 + 8 + 3n

Combine like terms: -8 + 8 = 0
0 + 2x = 8 + 8 + 3n
2x = 8 + 8 + 3n

Combine like terms: 8 + 8 = 16
2x = 16 + 3n

Divide each side by '2'.
x = 8 + 1.5n

Simplifying
x = 8 + 1.5n

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