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

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


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

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

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

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

Combine like terms: 3x + -3x = 0
(-9 + 0 + x2) + -2(x + 1) = x(x + -1) + -3
(-9 + x2) + -2(x + 1) = x(x + -1) + -3

Reorder the terms:
-9 + x2 + -2(1 + x) = x(x + -1) + -3
-9 + x2 + (1 * -2 + x * -2) = x(x + -1) + -3
-9 + x2 + (-2 + -2x) = x(x + -1) + -3

Reorder the terms:
-9 + -2 + -2x + x2 = x(x + -1) + -3

Combine like terms: -9 + -2 = -11
-11 + -2x + x2 = x(x + -1) + -3

Reorder the terms:
-11 + -2x + x2 = x(-1 + x) + -3
-11 + -2x + x2 = (-1 * x + x * x) + -3
-11 + -2x + x2 = (-1x + x2) + -3

Reorder the terms:
-11 + -2x + x2 = -3 + -1x + x2

Add '-1x2' to each side of the equation.
-11 + -2x + x2 + -1x2 = -3 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-11 + -2x + 0 = -3 + -1x + x2 + -1x2
-11 + -2x = -3 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-11 + -2x = -3 + -1x + 0
-11 + -2x = -3 + -1x

Solving
-11 + -2x = -3 + -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.
-11 + -2x + x = -3 + -1x + x

Combine like terms: -2x + x = -1x
-11 + -1x = -3 + -1x + x

Combine like terms: -1x + x = 0
-11 + -1x = -3 + 0
-11 + -1x = -3

Add '11' to each side of the equation.
-11 + 11 + -1x = -3 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = -3 + 11
-1x = -3 + 11

Combine like terms: -3 + 11 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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