(M-n)x+(m-n)x=2m

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Solution for (M-n)x+(m-n)x=2m equation:


Simplifying
(M + -1n) * x + (m + -1n) * x = 2m

Reorder the terms for easier multiplication:
x(M + -1n) + (m + -1n) * x = 2m
(M * x + -1n * x) + (m + -1n) * x = 2m

Reorder the terms:
(-1nx + xM) + (m + -1n) * x = 2m
(-1nx + xM) + (m + -1n) * x = 2m

Reorder the terms for easier multiplication:
-1nx + xM + x(m + -1n) = 2m
-1nx + xM + (m * x + -1n * x) = 2m
-1nx + xM + (mx + -1nx) = 2m

Reorder the terms:
mx + -1nx + -1nx + xM = 2m

Combine like terms: -1nx + -1nx = -2nx
mx + -2nx + xM = 2m

Solving
mx + -2nx + xM = 2m

Solving for variable 'm'.

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

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

Reorder the terms:
-2m + mx + -2nx + xM = 2m + -2m

Combine like terms: 2m + -2m = 0
-2m + mx + -2nx + xM = 0

Add '2nx' to each side of the equation.
-2m + mx + -2nx + 2nx + xM = 0 + 2nx

Combine like terms: -2nx + 2nx = 0
-2m + mx + 0 + xM = 0 + 2nx
-2m + mx + xM = 0 + 2nx
Remove the zero:
-2m + mx + xM = 2nx

Add '-1xM' to each side of the equation.
-2m + mx + xM + -1xM = 2nx + -1xM

Combine like terms: xM + -1xM = 0
-2m + mx + 0 = 2nx + -1xM
-2m + mx = 2nx + -1xM

Reorder the terms:
-2m + mx + -2nx + xM = 2nx + -2nx + -1xM + xM

Combine like terms: 2nx + -2nx = 0
-2m + mx + -2nx + xM = 0 + -1xM + xM
-2m + mx + -2nx + xM = -1xM + xM

Combine like terms: -1xM + xM = 0
-2m + mx + -2nx + xM = 0

The solution to this equation could not be determined.

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