5n(x-2)-2=28

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Solution for 5n(x-2)-2=28 equation:


Simplifying
5n(x + -2) + -2 = 28

Reorder the terms:
5n(-2 + x) + -2 = 28
(-2 * 5n + x * 5n) + -2 = 28
(-10n + 5nx) + -2 = 28

Reorder the terms:
-2 + -10n + 5nx = 28

Solving
-2 + -10n + 5nx = 28

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + -10n + 2 + 5nx = 28 + 2

Reorder the terms:
-2 + 2 + -10n + 5nx = 28 + 2

Combine like terms: -2 + 2 = 0
0 + -10n + 5nx = 28 + 2
-10n + 5nx = 28 + 2

Combine like terms: 28 + 2 = 30
-10n + 5nx = 30

Reorder the terms:
-30 + -10n + 5nx = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -10n + 5nx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + -2n + nx) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-6 + -2n + nx)' equal to zero and attempt to solve: Simplifying -6 + -2n + nx = 0 Solving -6 + -2n + nx = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2n + 6 + nx = 0 + 6 Reorder the terms: -6 + 6 + -2n + nx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2n + nx = 0 + 6 -2n + nx = 0 + 6 Combine like terms: 0 + 6 = 6 -2n + nx = 6 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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