12n(x+4)=4(1+3x)

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Solution for 12n(x+4)=4(1+3x) equation:


Simplifying
12n(x + 4) = 4(1 + 3x)

Reorder the terms:
12n(4 + x) = 4(1 + 3x)
(4 * 12n + x * 12n) = 4(1 + 3x)
(48n + 12nx) = 4(1 + 3x)
48n + 12nx = (1 * 4 + 3x * 4)
48n + 12nx = (4 + 12x)

Solving
48n + 12nx = 4 + 12x

Solving for variable 'n'.

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

Reorder the terms:
-4 + 48n + 12nx + -12x = 4 + 12x + -4 + -12x

Reorder the terms:
-4 + 48n + 12nx + -12x = 4 + -4 + 12x + -12x

Combine like terms: 4 + -4 = 0
-4 + 48n + 12nx + -12x = 0 + 12x + -12x
-4 + 48n + 12nx + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0
-4 + 48n + 12nx + -12x = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + 12n + 3nx + -3x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + 12n + 3nx + -3x)' equal to zero and attempt to solve: Simplifying -1 + 12n + 3nx + -3x = 0 Solving -1 + 12n + 3nx + -3x = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 12n + 3nx + 1 + -3x = 0 + 1 Reorder the terms: -1 + 1 + 12n + 3nx + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12n + 3nx + -3x = 0 + 1 12n + 3nx + -3x = 0 + 1 Combine like terms: 0 + 1 = 1 12n + 3nx + -3x = 1 Add '3x' to each side of the equation. 12n + 3nx + -3x + 3x = 1 + 3x Combine like terms: -3x + 3x = 0 12n + 3nx + 0 = 1 + 3x 12n + 3nx = 1 + 3x 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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