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

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


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

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

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

Multiply (-2 + x) * (4 + x)
(-2(4 + x) + x(4 + x)) + -1(x + 3)(x + 3) = 3
((4 * -2 + x * -2) + x(4 + x)) + -1(x + 3)(x + 3) = 3
((-8 + -2x) + x(4 + x)) + -1(x + 3)(x + 3) = 3
(-8 + -2x + (4 * x + x * x)) + -1(x + 3)(x + 3) = 3
(-8 + -2x + (4x + x2)) + -1(x + 3)(x + 3) = 3

Combine like terms: -2x + 4x = 2x
(-8 + 2x + x2) + -1(x + 3)(x + 3) = 3

Reorder the terms:
-8 + 2x + x2 + -1(3 + x)(x + 3) = 3

Reorder the terms:
-8 + 2x + x2 + -1(3 + x)(3 + x) = 3

Multiply (3 + x) * (3 + x)
-8 + 2x + x2 + -1(3(3 + x) + x(3 + x)) = 3
-8 + 2x + x2 + -1((3 * 3 + x * 3) + x(3 + x)) = 3
-8 + 2x + x2 + -1((9 + 3x) + x(3 + x)) = 3
-8 + 2x + x2 + -1(9 + 3x + (3 * x + x * x)) = 3
-8 + 2x + x2 + -1(9 + 3x + (3x + x2)) = 3

Combine like terms: 3x + 3x = 6x
-8 + 2x + x2 + -1(9 + 6x + x2) = 3
-8 + 2x + x2 + (9 * -1 + 6x * -1 + x2 * -1) = 3
-8 + 2x + x2 + (-9 + -6x + -1x2) = 3

Reorder the terms:
-8 + -9 + 2x + -6x + x2 + -1x2 = 3

Combine like terms: -8 + -9 = -17
-17 + 2x + -6x + x2 + -1x2 = 3

Combine like terms: 2x + -6x = -4x
-17 + -4x + x2 + -1x2 = 3

Combine like terms: x2 + -1x2 = 0
-17 + -4x + 0 = 3
-17 + -4x = 3

Solving
-17 + -4x = 3

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + -4x = 3 + 17

Combine like terms: -17 + 17 = 0
0 + -4x = 3 + 17
-4x = 3 + 17

Combine like terms: 3 + 17 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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