2x+27=mx+3m-nx+4n

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Solution for 2x+27=mx+3m-nx+4n equation:


Simplifying
2x + 27 = mx + 3m + -1nx + 4n

Reorder the terms:
27 + 2x = mx + 3m + -1nx + 4n

Reorder the terms:
27 + 2x = 3m + mx + 4n + -1nx

Solving
27 + 2x = 3m + mx + 4n + -1nx

Solving for variable 'x'.

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

Add '-1mx' to each side of the equation.
27 + -1mx + 2x = 3m + mx + 4n + -1mx + -1nx

Reorder the terms:
27 + -1mx + 2x = 3m + mx + -1mx + 4n + -1nx

Combine like terms: mx + -1mx = 0
27 + -1mx + 2x = 3m + 0 + 4n + -1nx
27 + -1mx + 2x = 3m + 4n + -1nx

Add 'nx' to each side of the equation.
27 + -1mx + nx + 2x = 3m + 4n + -1nx + nx

Combine like terms: -1nx + nx = 0
27 + -1mx + nx + 2x = 3m + 4n + 0
27 + -1mx + nx + 2x = 3m + 4n

Add '-27' to each side of the equation.
27 + -1mx + nx + -27 + 2x = 3m + -27 + 4n

Reorder the terms:
27 + -27 + -1mx + nx + 2x = 3m + -27 + 4n

Combine like terms: 27 + -27 = 0
0 + -1mx + nx + 2x = 3m + -27 + 4n
-1mx + nx + 2x = 3m + -27 + 4n

Reorder the terms:
-1mx + nx + 2x = -27 + 3m + 4n

Reorder the terms:
27 + -3m + -1mx + -4n + nx + 2x = -27 + 3m + 4n + 27 + -3m + -4n

Reorder the terms:
27 + -3m + -1mx + -4n + nx + 2x = -27 + 27 + 3m + -3m + 4n + -4n

Combine like terms: -27 + 27 = 0
27 + -3m + -1mx + -4n + nx + 2x = 0 + 3m + -3m + 4n + -4n
27 + -3m + -1mx + -4n + nx + 2x = 3m + -3m + 4n + -4n

Combine like terms: 3m + -3m = 0
27 + -3m + -1mx + -4n + nx + 2x = 0 + 4n + -4n
27 + -3m + -1mx + -4n + nx + 2x = 4n + -4n

Combine like terms: 4n + -4n = 0
27 + -3m + -1mx + -4n + nx + 2x = 0

The solution to this equation could not be determined.

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