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

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Solution for (x+-1)(4x+2)=(2x+3)(2+2x) equation: 


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

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

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

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

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

Reorder the terms:
-2 + -2x + 4x2 = (3 + 2x)(2 + 2x)

Multiply (3 + 2x) * (2 + 2x)
-2 + -2x + 4x2 = (3(2 + 2x) + 2x * (2 + 2x))
-2 + -2x + 4x2 = ((2 * 3 + 2x * 3) + 2x * (2 + 2x))
-2 + -2x + 4x2 = ((6 + 6x) + 2x * (2 + 2x))
-2 + -2x + 4x2 = (6 + 6x + (2 * 2x + 2x * 2x))
-2 + -2x + 4x2 = (6 + 6x + (4x + 4x2))

Combine like terms: 6x + 4x = 10x
-2 + -2x + 4x2 = (6 + 10x + 4x2)

Add '-4x2' to each side of the equation.
-2 + -2x + 4x2 + -4x2 = 6 + 10x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-2 + -2x + 0 = 6 + 10x + 4x2 + -4x2
-2 + -2x = 6 + 10x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-2 + -2x = 6 + 10x + 0
-2 + -2x = 6 + 10x

Solving
-2 + -2x = 6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-2 + -2x + -10x = 6 + 10x + -10x

Combine like terms: -2x + -10x = -12x
-2 + -12x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2 + -12x = 6 + 0
-2 + -12x = 6

Add '2' to each side of the equation.
-2 + 2 + -12x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -12x = 6 + 2
-12x = 6 + 2

Combine like terms: 6 + 2 = 8
-12x = 8

Divide each side by '-12'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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