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

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


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

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

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

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

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

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

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

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

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

Add '-1x2' to each side of the equation.
-18 + -3x + x2 + -1x2 = -8 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + -3x + 0 = -8 + 2x + x2 + -1x2
-18 + -3x = -8 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + -3x = -8 + 2x + 0
-18 + -3x = -8 + 2x

Solving
-18 + -3x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-18 + -3x + -2x = -8 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-18 + -5x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + -5x = -8 + 0
-18 + -5x = -8

Add '18' to each side of the equation.
-18 + 18 + -5x = -8 + 18

Combine like terms: -18 + 18 = 0
0 + -5x = -8 + 18
-5x = -8 + 18

Combine like terms: -8 + 18 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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