2mx-(m-4)x-2=0

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Solution for 2mx-(m-4)x-2=0 equation:


Simplifying
2mx + -1(m + -4) * x + -2 = 0

Reorder the terms:
2mx + -1(-4 + m) * x + -2 = 0

Reorder the terms for easier multiplication:
2mx + -1x(-4 + m) + -2 = 0
2mx + (-4 * -1x + m * -1x) + -2 = 0

Reorder the terms:
2mx + (-1mx + 4x) + -2 = 0
2mx + (-1mx + 4x) + -2 = 0

Reorder the terms:
-2 + 2mx + -1mx + 4x = 0

Combine like terms: 2mx + -1mx = 1mx
-2 + 1mx + 4x = 0

Solving
-2 + 1mx + 4x = 0

Solving for variable 'm'.

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

Add '2' to each side of the equation.
-2 + 1mx + 2 + 4x = 0 + 2

Reorder the terms:
-2 + 2 + 1mx + 4x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1mx + 4x = 0 + 2
1mx + 4x = 0 + 2

Combine like terms: 0 + 2 = 2
1mx + 4x = 2

Add '-4x' to each side of the equation.
1mx + 4x + -4x = 2 + -4x

Combine like terms: 4x + -4x = 0
1mx + 0 = 2 + -4x
1mx = 2 + -4x

Divide each side by '1x'.
m = 2x-1 + -4

Simplifying
m = 2x-1 + -4

Reorder the terms:
m = -4 + 2x-1

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