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

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


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

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

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

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

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

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

Combine like terms: 3x + 3x = 6x
-2 + 2x + 2x2 = 2(9 + 6x + x2)
-2 + 2x + 2x2 = (9 * 2 + 6x * 2 + x2 * 2)
-2 + 2x + 2x2 = (18 + 12x + 2x2)

Add '-2x2' to each side of the equation.
-2 + 2x + 2x2 + -2x2 = 18 + 12x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 2x + 0 = 18 + 12x + 2x2 + -2x2
-2 + 2x = 18 + 12x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 2x = 18 + 12x + 0
-2 + 2x = 18 + 12x

Solving
-2 + 2x = 18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + 2x + -12x = 18 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-2 + -10x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -10x = 18 + 0
-2 + -10x = 18

Add '2' to each side of the equation.
-2 + 2 + -10x = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -10x = 18 + 2
-10x = 18 + 2

Combine like terms: 18 + 2 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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