3x(n-1)=5x-3-2x

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Solution for 3x(n-1)=5x-3-2x equation:


Simplifying
3x(n + -1) = 5x + -3 + -2x

Reorder the terms:
3x(-1 + n) = 5x + -3 + -2x
(-1 * 3x + n * 3x) = 5x + -3 + -2x

Reorder the terms:
(3nx + -3x) = 5x + -3 + -2x
(3nx + -3x) = 5x + -3 + -2x

Reorder the terms:
3nx + -3x = -3 + 5x + -2x

Combine like terms: 5x + -2x = 3x
3nx + -3x = -3 + 3x

Solving
3nx + -3x = -3 + 3x

Solving for variable 'n'.

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

Add '3x' to each side of the equation.
3nx + -3x + 3x = -3 + 3x + 3x

Combine like terms: -3x + 3x = 0
3nx + 0 = -3 + 3x + 3x
3nx = -3 + 3x + 3x

Combine like terms: 3x + 3x = 6x
3nx = -3 + 6x

Divide each side by '3x'.
n = -1x-1 + 2

Simplifying
n = -1x-1 + 2

Reorder the terms:
n = 2 + -1x-1

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