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

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


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

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

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

Multiply (3 + x) * (-2 + 4x)
((3(-2 + 4x) + x(-2 + 4x))) = ((2x + 3)(2x + 2))
(((-2 * 3 + 4x * 3) + x(-2 + 4x))) = ((2x + 3)(2x + 2))
(((-6 + 12x) + x(-2 + 4x))) = ((2x + 3)(2x + 2))
((-6 + 12x + (-2 * x + 4x * x))) = ((2x + 3)(2x + 2))
((-6 + 12x + (-2x + 4x2))) = ((2x + 3)(2x + 2))

Combine like terms: 12x + -2x = 10x
((-6 + 10x + 4x2)) = ((2x + 3)(2x + 2))
(-6 + 10x + 4x2) = ((2x + 3)(2x + 2))

Remove parenthesis around (-6 + 10x + 4x2)
-6 + 10x + 4x2 = ((2x + 3)(2x + 2))

Reorder the terms:
-6 + 10x + 4x2 = ((3 + 2x)(2x + 2))

Reorder the terms:
-6 + 10x + 4x2 = ((3 + 2x)(2 + 2x))

Multiply (3 + 2x) * (2 + 2x)
-6 + 10x + 4x2 = ((3(2 + 2x) + 2x * (2 + 2x)))
-6 + 10x + 4x2 = (((2 * 3 + 2x * 3) + 2x * (2 + 2x)))
-6 + 10x + 4x2 = (((6 + 6x) + 2x * (2 + 2x)))
-6 + 10x + 4x2 = ((6 + 6x + (2 * 2x + 2x * 2x)))
-6 + 10x + 4x2 = ((6 + 6x + (4x + 4x2)))

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

Remove parenthesis around (6 + 10x + 4x2)
-6 + 10x + 4x2 = 6 + 10x + 4x2

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

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

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

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

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

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

Solving
-6 = 6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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