(x+1)(x-2)=(x-4)(x+6)

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Solution for (x+1)(x-2)=(x-4)(x+6) equation: 


Simplifying
(x + 1)(x + -2) = (x + -4)(x + 6)

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

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

Multiply (1 + x) * (-2 + x)
(1(-2 + x) + x(-2 + x)) = (x + -4)(x + 6)
((-2 * 1 + x * 1) + x(-2 + x)) = (x + -4)(x + 6)
((-2 + 1x) + x(-2 + x)) = (x + -4)(x + 6)
(-2 + 1x + (-2 * x + x * x)) = (x + -4)(x + 6)
(-2 + 1x + (-2x + x2)) = (x + -4)(x + 6)

Combine like terms: 1x + -2x = -1x
(-2 + -1x + x2) = (x + -4)(x + 6)

Reorder the terms:
-2 + -1x + x2 = (-4 + x)(x + 6)

Reorder the terms:
-2 + -1x + x2 = (-4 + x)(6 + x)

Multiply (-4 + x) * (6 + x)
-2 + -1x + x2 = (-4(6 + x) + x(6 + x))
-2 + -1x + x2 = ((6 * -4 + x * -4) + x(6 + x))
-2 + -1x + x2 = ((-24 + -4x) + x(6 + x))
-2 + -1x + x2 = (-24 + -4x + (6 * x + x * x))
-2 + -1x + x2 = (-24 + -4x + (6x + x2))

Combine like terms: -4x + 6x = 2x
-2 + -1x + x2 = (-24 + 2x + x2)

Add '-1x2' to each side of the equation.
-2 + -1x + x2 + -1x2 = -24 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -1x + 0 = -24 + 2x + x2 + -1x2
-2 + -1x = -24 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -1x = -24 + 2x + 0
-2 + -1x = -24 + 2x

Solving
-2 + -1x = -24 + 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.
-2 + -1x + -2x = -24 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-2 + -3x = -24 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -3x = -24 + 0
-2 + -3x = -24

Add '2' to each side of the equation.
-2 + 2 + -3x = -24 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -24 + 2
-3x = -24 + 2

Combine like terms: -24 + 2 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333

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