(x+2)(x-1)=(x+4)(x-5)

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Solution for (x+2)(x-1)=(x+4)(x-5) equation: 


Simplifying
(x + 2)(x + -1) = (x + 4)(x + -5)

Reorder the terms:
(2 + x)(x + -1) = (x + 4)(x + -5)

Reorder the terms:
(2 + x)(-1 + x) = (x + 4)(x + -5)

Multiply (2 + x) * (-1 + x)
(2(-1 + x) + x(-1 + x)) = (x + 4)(x + -5)
((-1 * 2 + x * 2) + x(-1 + x)) = (x + 4)(x + -5)
((-2 + 2x) + x(-1 + x)) = (x + 4)(x + -5)
(-2 + 2x + (-1 * x + x * x)) = (x + 4)(x + -5)
(-2 + 2x + (-1x + x2)) = (x + 4)(x + -5)

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

Reorder the terms:
-2 + 1x + x2 = (4 + x)(x + -5)

Reorder the terms:
-2 + 1x + x2 = (4 + x)(-5 + x)

Multiply (4 + x) * (-5 + x)
-2 + 1x + x2 = (4(-5 + x) + x(-5 + x))
-2 + 1x + x2 = ((-5 * 4 + x * 4) + x(-5 + x))
-2 + 1x + x2 = ((-20 + 4x) + x(-5 + x))
-2 + 1x + x2 = (-20 + 4x + (-5 * x + x * x))
-2 + 1x + x2 = (-20 + 4x + (-5x + x2))

Combine like terms: 4x + -5x = -1x
-2 + 1x + x2 = (-20 + -1x + x2)

Add '-1x2' to each side of the equation.
-2 + 1x + x2 + -1x2 = -20 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 1x + 0 = -20 + -1x + x2 + -1x2
-2 + 1x = -20 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 1x = -20 + -1x + 0
-2 + 1x = -20 + -1x

Solving
-2 + 1x = -20 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 1x + x = -20 + -1x + x

Combine like terms: 1x + x = 2x
-2 + 2x = -20 + -1x + x

Combine like terms: -1x + x = 0
-2 + 2x = -20 + 0
-2 + 2x = -20

Add '2' to each side of the equation.
-2 + 2 + 2x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = -20 + 2
2x = -20 + 2

Combine like terms: -20 + 2 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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