3(x-2)+7(x-6)over(x-6)(x-2)=10overx-4

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Solution for 3(x-2)+7(x-6)over(x-6)(x-2)=10overx-4 equation:


Simplifying
3(x + -2) + 7(x + -6) * over(x + -6)(x + -2) = 10overx + -4

Reorder the terms:
3(-2 + x) + 7(x + -6) * over(x + -6)(x + -2) = 10overx + -4
(-2 * 3 + x * 3) + 7(x + -6) * over(x + -6)(x + -2) = 10overx + -4
(-6 + 3x) + 7(x + -6) * over(x + -6)(x + -2) = 10overx + -4

Reorder the terms:
-6 + 3x + 7(-6 + x) * over(x + -6)(x + -2) = 10overx + -4

Reorder the terms:
-6 + 3x + 7(-6 + x) * eorv(-6 + x)(x + -2) = 10overx + -4

Reorder the terms:
-6 + 3x + 7(-6 + x) * eorv(-6 + x)(-2 + x) = 10overx + -4

Reorder the terms for easier multiplication:
-6 + 3x + 7eorv(-6 + x)(-6 + x)(-2 + x) = 10overx + -4

Multiply (-6 + x) * (-6 + x)
-6 + 3x + 7eorv(-6(-6 + x) + x(-6 + x))(-2 + x) = 10overx + -4
-6 + 3x + 7eorv((-6 * -6 + x * -6) + x(-6 + x))(-2 + x) = 10overx + -4
-6 + 3x + 7eorv((36 + -6x) + x(-6 + x))(-2 + x) = 10overx + -4
-6 + 3x + 7eorv(36 + -6x + (-6 * x + x * x))(-2 + x) = 10overx + -4
-6 + 3x + 7eorv(36 + -6x + (-6x + x2))(-2 + x) = 10overx + -4

Combine like terms: -6x + -6x = -12x
-6 + 3x + 7eorv(36 + -12x + x2)(-2 + x) = 10overx + -4

Multiply (36 + -12x + x2) * (-2 + x)
-6 + 3x + 7eorv(36(-2 + x) + -12x * (-2 + x) + x2(-2 + x)) = 10overx + -4
-6 + 3x + 7eorv((-2 * 36 + x * 36) + -12x * (-2 + x) + x2(-2 + x)) = 10overx + -4
-6 + 3x + 7eorv((-72 + 36x) + -12x * (-2 + x) + x2(-2 + x)) = 10overx + -4
-6 + 3x + 7eorv(-72 + 36x + (-2 * -12x + x * -12x) + x2(-2 + x)) = 10overx + -4
-6 + 3x + 7eorv(-72 + 36x + (24x + -12x2) + x2(-2 + x)) = 10overx + -4
-6 + 3x + 7eorv(-72 + 36x + 24x + -12x2 + (-2 * x2 + x * x2)) = 10overx + -4
-6 + 3x + 7eorv(-72 + 36x + 24x + -12x2 + (-2x2 + x3)) = 10overx + -4

Combine like terms: 36x + 24x = 60x
-6 + 3x + 7eorv(-72 + 60x + -12x2 + -2x2 + x3) = 10overx + -4

Combine like terms: -12x2 + -2x2 = -14x2
-6 + 3x + 7eorv(-72 + 60x + -14x2 + x3) = 10overx + -4
-6 + 3x + (-72 * 7eorv + 60x * 7eorv + -14x2 * 7eorv + x3 * 7eorv) = 10overx + -4
-6 + 3x + (-504eorv + 420eorvx + -98eorvx2 + 7eorvx3) = 10overx + -4

Reorder the terms:
-6 + -504eorv + 420eorvx + -98eorvx2 + 7eorvx3 + 3x = 10overx + -4

Reorder the terms:
-6 + -504eorv + 420eorvx + -98eorvx2 + 7eorvx3 + 3x = -4 + 10eorvx

Solving
-6 + -504eorv + 420eorvx + -98eorvx2 + 7eorvx3 + 3x = -4 + 10eorvx

Solving for variable 'e'.

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

Add '-10eorvx' to each side of the equation.
-6 + -504eorv + 420eorvx + -98eorvx2 + 7eorvx3 + -10eorvx + 3x = -4 + 10eorvx + -10eorvx

Reorder the terms:
-6 + -504eorv + 420eorvx + -10eorvx + -98eorvx2 + 7eorvx3 + 3x = -4 + 10eorvx + -10eorvx

Combine like terms: 420eorvx + -10eorvx = 410eorvx
-6 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = -4 + 10eorvx + -10eorvx

Combine like terms: 10eorvx + -10eorvx = 0
-6 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = -4 + 0
-6 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = -4

Add '6' to each side of the equation.
-6 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 6 + 3x = -4 + 6

Reorder the terms:
-6 + 6 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = -4 + 6
-504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = -4 + 6

Combine like terms: -4 + 6 = 2
-504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = 2

Add '-3x' to each side of the equation.
-504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x + -3x = 2 + -3x

Combine like terms: 3x + -3x = 0
-504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 0 = 2 + -3x
-504eorv + 410eorvx + -98eorvx2 + 7eorvx3 = 2 + -3x

Reorder the terms:
-2 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = 2 + -3x + -2 + 3x

Reorder the terms:
-2 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = 2 + -2 + -3x + 3x

Combine like terms: 2 + -2 = 0
-2 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = 0 + -3x + 3x
-2 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + -504eorv + 410eorvx + -98eorvx2 + 7eorvx3 + 3x = 0

The solution to this equation could not be determined.

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