(x+4)(x-1)=(x+2)(x-3)

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Solution for (x+4)(x-1)=(x+2)(x-3) equation: 


Simplifying
(x + 4)(x + -1) = (x + 2)(x + -3)

Reorder the terms:
(4 + x)(x + -1) = (x + 2)(x + -3)

Reorder the terms:
(4 + x)(-1 + x) = (x + 2)(x + -3)

Multiply (4 + x) * (-1 + x)
(4(-1 + x) + x(-1 + x)) = (x + 2)(x + -3)
((-1 * 4 + x * 4) + x(-1 + x)) = (x + 2)(x + -3)
((-4 + 4x) + x(-1 + x)) = (x + 2)(x + -3)
(-4 + 4x + (-1 * x + x * x)) = (x + 2)(x + -3)
(-4 + 4x + (-1x + x2)) = (x + 2)(x + -3)

Combine like terms: 4x + -1x = 3x
(-4 + 3x + x2) = (x + 2)(x + -3)

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

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

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

Combine like terms: 2x + -3x = -1x
-4 + 3x + x2 = (-6 + -1x + x2)

Add '-1x2' to each side of the equation.
-4 + 3x + x2 + -1x2 = -6 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + 3x + 0 = -6 + -1x + x2 + -1x2
-4 + 3x = -6 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + 3x = -6 + -1x + 0
-4 + 3x = -6 + -1x

Solving
-4 + 3x = -6 + -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.
-4 + 3x + x = -6 + -1x + x

Combine like terms: 3x + x = 4x
-4 + 4x = -6 + -1x + x

Combine like terms: -1x + x = 0
-4 + 4x = -6 + 0
-4 + 4x = -6

Add '4' to each side of the equation.
-4 + 4 + 4x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = -6 + 4
4x = -6 + 4

Combine like terms: -6 + 4 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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