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

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


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

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

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

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

Combine like terms: -1x + 6x = 5x
(-6 + 5x + x2) = (x + 2)(x + 4)

Reorder the terms:
-6 + 5x + x2 = (2 + x)(x + 4)

Reorder the terms:
-6 + 5x + x2 = (2 + x)(4 + x)

Multiply (2 + x) * (4 + x)
-6 + 5x + x2 = (2(4 + x) + x(4 + x))
-6 + 5x + x2 = ((4 * 2 + x * 2) + x(4 + x))
-6 + 5x + x2 = ((8 + 2x) + x(4 + x))
-6 + 5x + x2 = (8 + 2x + (4 * x + x * x))
-6 + 5x + x2 = (8 + 2x + (4x + x2))

Combine like terms: 2x + 4x = 6x
-6 + 5x + x2 = (8 + 6x + x2)

Add '-1x2' to each side of the equation.
-6 + 5x + x2 + -1x2 = 8 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 5x + 0 = 8 + 6x + x2 + -1x2
-6 + 5x = 8 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 5x = 8 + 6x + 0
-6 + 5x = 8 + 6x

Solving
-6 + 5x = 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.
-6 + 5x + -6x = 8 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-6 + -1x = 8 + 6x + -6x

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

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

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

Combine like terms: 8 + 6 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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