mx-4=nx+2

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Solution for mx-4=nx+2 equation:


Simplifying
mx + -4 = nx + 2

Reorder the terms:
-4 + mx = nx + 2

Reorder the terms:
-4 + mx = 2 + nx

Solving
-4 + mx = 2 + nx

Solving for variable 'm'.

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

Add '4' to each side of the equation.
-4 + 4 + mx = 2 + 4 + nx

Combine like terms: -4 + 4 = 0
0 + mx = 2 + 4 + nx
mx = 2 + 4 + nx

Combine like terms: 2 + 4 = 6
mx = 6 + nx

Divide each side by 'x'.
m = 6x-1 + n

Simplifying
m = 6x-1 + n

Reorder the terms:
m = n + 6x-1

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