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

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


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

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

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

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

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

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

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

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

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

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

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

Add '-1x2' to each side of the equation.
-3 + 2x + x2 + -1x2 = -4 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 2x + 0 = -4 + -1x + x2 + -1x2
-3 + 2x = -4 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 2x = -4 + -1x + 0
-3 + 2x = -4 + -1x

Solving
-3 + 2x = -4 + -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.
-3 + 2x + x = -4 + -1x + x

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

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

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

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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