x^2-(m-1)x+2=3x^2-(2m-4)x-4

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Solution for x^2-(m-1)x+2=3x^2-(2m-4)x-4 equation: 


Simplifying
x2 + -1(m + -1) * x + 2 = 3x2 + -1(2m + -4) * x + -4

Reorder the terms:
x2 + -1(-1 + m) * x + 2 = 3x2 + -1(2m + -4) * x + -4

Reorder the terms for easier multiplication:
x2 + -1x(-1 + m) + 2 = 3x2 + -1(2m + -4) * x + -4
x2 + (-1 * -1x + m * -1x) + 2 = 3x2 + -1(2m + -4) * x + -4

Reorder the terms:
x2 + (-1mx + 1x) + 2 = 3x2 + -1(2m + -4) * x + -4
x2 + (-1mx + 1x) + 2 = 3x2 + -1(2m + -4) * x + -4

Reorder the terms:
2 + -1mx + 1x + x2 = 3x2 + -1(2m + -4) * x + -4

Reorder the terms:
2 + -1mx + 1x + x2 = 3x2 + -1(-4 + 2m) * x + -4

Reorder the terms for easier multiplication:
2 + -1mx + 1x + x2 = 3x2 + -1x(-4 + 2m) + -4
2 + -1mx + 1x + x2 = 3x2 + (-4 * -1x + 2m * -1x) + -4

Reorder the terms:
2 + -1mx + 1x + x2 = 3x2 + (-2mx + 4x) + -4
2 + -1mx + 1x + x2 = 3x2 + (-2mx + 4x) + -4

Reorder the terms:
2 + -1mx + 1x + x2 = -4 + -2mx + 4x + 3x2

Solving
2 + -1mx + 1x + x2 = -4 + -2mx + 4x + 3x2

Solving for variable 'm'.

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

Add '2mx' to each side of the equation.
2 + -1mx + 1x + 2mx + x2 = -4 + -2mx + 4x + 2mx + 3x2

Reorder the terms:
2 + -1mx + 2mx + 1x + x2 = -4 + -2mx + 4x + 2mx + 3x2

Combine like terms: -1mx + 2mx = 1mx
2 + 1mx + 1x + x2 = -4 + -2mx + 4x + 2mx + 3x2

Reorder the terms:
2 + 1mx + 1x + x2 = -4 + -2mx + 2mx + 4x + 3x2

Combine like terms: -2mx + 2mx = 0
2 + 1mx + 1x + x2 = -4 + 0 + 4x + 3x2
2 + 1mx + 1x + x2 = -4 + 4x + 3x2

Add '-2' to each side of the equation.
2 + 1mx + 1x + -2 + x2 = -4 + 4x + -2 + 3x2

Reorder the terms:
2 + -2 + 1mx + 1x + x2 = -4 + 4x + -2 + 3x2

Combine like terms: 2 + -2 = 0
0 + 1mx + 1x + x2 = -4 + 4x + -2 + 3x2
1mx + 1x + x2 = -4 + 4x + -2 + 3x2

Reorder the terms:
1mx + 1x + x2 = -4 + -2 + 4x + 3x2

Combine like terms: -4 + -2 = -6
1mx + 1x + x2 = -6 + 4x + 3x2

Add '-1x' to each side of the equation.
1mx + 1x + -1x + x2 = -6 + 4x + -1x + 3x2

Combine like terms: 1x + -1x = 0
1mx + 0 + x2 = -6 + 4x + -1x + 3x2
1mx + x2 = -6 + 4x + -1x + 3x2

Combine like terms: 4x + -1x = 3x
1mx + x2 = -6 + 3x + 3x2

Add '-1x2' to each side of the equation.
1mx + x2 + -1x2 = -6 + 3x + 3x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1mx + 0 = -6 + 3x + 3x2 + -1x2
1mx = -6 + 3x + 3x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
1mx = -6 + 3x + 2x2

Divide each side by '1x'.
m = -6x-1 + 3 + 2x

Simplifying
m = -6x-1 + 3 + 2x

Reorder the terms:
m = 3 + -6x-1 + 2x

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