8-2xn=n+17

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Solution for 8-2xn=n+17 equation:


Simplifying
8 + -2xn = n + 17

Reorder the terms:
8 + -2nx = 17 + n

Solving
8 + -2nx = 17 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
8 + -1n + -2nx = 17 + n + -1n

Combine like terms: n + -1n = 0
8 + -1n + -2nx = 17 + 0
8 + -1n + -2nx = 17

Add '-8' to each side of the equation.
8 + -1n + -8 + -2nx = 17 + -8

Reorder the terms:
8 + -8 + -1n + -2nx = 17 + -8

Combine like terms: 8 + -8 = 0
0 + -1n + -2nx = 17 + -8
-1n + -2nx = 17 + -8

Combine like terms: 17 + -8 = 9
-1n + -2nx = 9

Reorder the terms:
-9 + -1n + -2nx = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + -1n + -2nx = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + n + 2nx) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(9 + n + 2nx)' equal to zero and attempt to solve: Simplifying 9 + n + 2nx = 0 Solving 9 + n + 2nx = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + n + -9 + 2nx = 0 + -9 Reorder the terms: 9 + -9 + n + 2nx = 0 + -9 Combine like terms: 9 + -9 = 0 0 + n + 2nx = 0 + -9 n + 2nx = 0 + -9 Combine like terms: 0 + -9 = -9 n + 2nx = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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