(n+10)(x-4)=(x-4)

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Solution for (n+10)(x-4)=(x-4) equation:


Simplifying
(n + 10)(x + -4) = (x + -4)

Reorder the terms:
(10 + n)(x + -4) = (x + -4)

Reorder the terms:
(10 + n)(-4 + x) = (x + -4)

Multiply (10 + n) * (-4 + x)
(10(-4 + x) + n(-4 + x)) = (x + -4)
((-4 * 10 + x * 10) + n(-4 + x)) = (x + -4)
((-40 + 10x) + n(-4 + x)) = (x + -4)
(-40 + 10x + (-4 * n + x * n)) = (x + -4)
(-40 + 10x + (-4n + nx)) = (x + -4)

Reorder the terms:
(-40 + -4n + nx + 10x) = (x + -4)
(-40 + -4n + nx + 10x) = (x + -4)

Reorder the terms:
-40 + -4n + nx + 10x = (-4 + x)

Remove parenthesis around (-4 + x)
-40 + -4n + nx + 10x = -4 + x

Solving
-40 + -4n + nx + 10x = -4 + x

Solving for variable 'n'.

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

Add '40' to each side of the equation.
-40 + -4n + nx + 40 + 10x = -4 + 40 + x

Reorder the terms:
-40 + 40 + -4n + nx + 10x = -4 + 40 + x

Combine like terms: -40 + 40 = 0
0 + -4n + nx + 10x = -4 + 40 + x
-4n + nx + 10x = -4 + 40 + x

Combine like terms: -4 + 40 = 36
-4n + nx + 10x = 36 + x

Add '-10x' to each side of the equation.
-4n + nx + 10x + -10x = 36 + x + -10x

Combine like terms: 10x + -10x = 0
-4n + nx + 0 = 36 + x + -10x
-4n + nx = 36 + x + -10x

Combine like terms: x + -10x = -9x
-4n + nx = 36 + -9x

Reorder the terms:
-36 + -4n + nx + 9x = 36 + -9x + -36 + 9x

Reorder the terms:
-36 + -4n + nx + 9x = 36 + -36 + -9x + 9x

Combine like terms: 36 + -36 = 0
-36 + -4n + nx + 9x = 0 + -9x + 9x
-36 + -4n + nx + 9x = -9x + 9x

Combine like terms: -9x + 9x = 0
-36 + -4n + nx + 9x = 0

The solution to this equation could not be determined.

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