(x-3)(x+6)=(x-2)(x-4)

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Solution for (x-3)(x+6)=(x-2)(x-4) equation: 


Simplifying
(x + -3)(x + 6) = (x + -2)(x + -4)

Reorder the terms:
(-3 + x)(x + 6) = (x + -2)(x + -4)

Reorder the terms:
(-3 + x)(6 + x) = (x + -2)(x + -4)

Multiply (-3 + x) * (6 + x)
(-3(6 + x) + x(6 + x)) = (x + -2)(x + -4)
((6 * -3 + x * -3) + x(6 + x)) = (x + -2)(x + -4)
((-18 + -3x) + x(6 + x)) = (x + -2)(x + -4)
(-18 + -3x + (6 * x + x * x)) = (x + -2)(x + -4)
(-18 + -3x + (6x + x2)) = (x + -2)(x + -4)

Combine like terms: -3x + 6x = 3x
(-18 + 3x + x2) = (x + -2)(x + -4)

Reorder the terms:
-18 + 3x + x2 = (-2 + x)(x + -4)

Reorder the terms:
-18 + 3x + x2 = (-2 + x)(-4 + x)

Multiply (-2 + x) * (-4 + x)
-18 + 3x + x2 = (-2(-4 + x) + x(-4 + x))
-18 + 3x + x2 = ((-4 * -2 + x * -2) + x(-4 + x))
-18 + 3x + x2 = ((8 + -2x) + x(-4 + x))
-18 + 3x + x2 = (8 + -2x + (-4 * x + x * x))
-18 + 3x + x2 = (8 + -2x + (-4x + x2))

Combine like terms: -2x + -4x = -6x
-18 + 3x + x2 = (8 + -6x + x2)

Add '-1x2' to each side of the equation.
-18 + 3x + x2 + -1x2 = 8 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + 3x + 0 = 8 + -6x + x2 + -1x2
-18 + 3x = 8 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + 3x = 8 + -6x + 0
-18 + 3x = 8 + -6x

Solving
-18 + 3x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-18 + 3x + 6x = 8 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-18 + 9x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 9x = 8 + 0
-18 + 9x = 8

Add '18' to each side of the equation.
-18 + 18 + 9x = 8 + 18

Combine like terms: -18 + 18 = 0
0 + 9x = 8 + 18
9x = 8 + 18

Combine like terms: 8 + 18 = 26
9x = 26

Divide each side by '9'.
x = 2.888888889

Simplifying
x = 2.888888889

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