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

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


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

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

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

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

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

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

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

Add '-2x2' to each side of the equation.
-2 + 2x + 2x2 + -2x2 = -6 + -4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 2x + 0 = -6 + -4x + 2x2 + -2x2
-2 + 2x = -6 + -4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 2x = -6 + -4x + 0
-2 + 2x = -6 + -4x

Solving
-2 + 2x = -6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-2 + 2x + 4x = -6 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
-2 + 6x = -6 + 0
-2 + 6x = -6

Add '2' to each side of the equation.
-2 + 2 + 6x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = -6 + 2
6x = -6 + 2

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

Divide each side by '6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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