(n-3)(x+7)=n

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Solution for (n-3)(x+7)=n equation:


Simplifying
(n + -3)(x + 7) = n

Reorder the terms:
(-3 + n)(x + 7) = n

Reorder the terms:
(-3 + n)(7 + x) = n

Multiply (-3 + n) * (7 + x)
(-3(7 + x) + n(7 + x)) = n
((7 * -3 + x * -3) + n(7 + x)) = n
((-21 + -3x) + n(7 + x)) = n
(-21 + -3x + (7 * n + x * n)) = n
(-21 + -3x + (7n + nx)) = n

Reorder the terms:
(-21 + 7n + nx + -3x) = n
(-21 + 7n + nx + -3x) = n

Solving
-21 + 7n + nx + -3x = 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.
-21 + 7n + nx + -1n + -3x = n + -1n

Reorder the terms:
-21 + 7n + -1n + nx + -3x = n + -1n

Combine like terms: 7n + -1n = 6n
-21 + 6n + nx + -3x = n + -1n

Combine like terms: n + -1n = 0
-21 + 6n + nx + -3x = 0

Add '21' to each side of the equation.
-21 + 6n + nx + 21 + -3x = 0 + 21

Reorder the terms:
-21 + 21 + 6n + nx + -3x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 6n + nx + -3x = 0 + 21
6n + nx + -3x = 0 + 21

Combine like terms: 0 + 21 = 21
6n + nx + -3x = 21

Add '3x' to each side of the equation.
6n + nx + -3x + 3x = 21 + 3x

Combine like terms: -3x + 3x = 0
6n + nx + 0 = 21 + 3x
6n + nx = 21 + 3x

Reorder the terms:
-21 + 6n + nx + -3x = 21 + 3x + -21 + -3x

Reorder the terms:
-21 + 6n + nx + -3x = 21 + -21 + 3x + -3x

Combine like terms: 21 + -21 = 0
-21 + 6n + nx + -3x = 0 + 3x + -3x
-21 + 6n + nx + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
-21 + 6n + nx + -3x = 0

The solution to this equation could not be determined.

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