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

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


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

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

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

Multiply (3 + x) * (-2 + 2x)
(3(-2 + 2x) + x(-2 + 2x)) = (2x + 3)(x + 1)
((-2 * 3 + 2x * 3) + x(-2 + 2x)) = (2x + 3)(x + 1)
((-6 + 6x) + x(-2 + 2x)) = (2x + 3)(x + 1)
(-6 + 6x + (-2 * x + 2x * x)) = (2x + 3)(x + 1)
(-6 + 6x + (-2x + 2x2)) = (2x + 3)(x + 1)

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

Reorder the terms:
-6 + 4x + 2x2 = (3 + 2x)(x + 1)

Reorder the terms:
-6 + 4x + 2x2 = (3 + 2x)(1 + x)

Multiply (3 + 2x) * (1 + x)
-6 + 4x + 2x2 = (3(1 + x) + 2x * (1 + x))
-6 + 4x + 2x2 = ((1 * 3 + x * 3) + 2x * (1 + x))
-6 + 4x + 2x2 = ((3 + 3x) + 2x * (1 + x))
-6 + 4x + 2x2 = (3 + 3x + (1 * 2x + x * 2x))
-6 + 4x + 2x2 = (3 + 3x + (2x + 2x2))

Combine like terms: 3x + 2x = 5x
-6 + 4x + 2x2 = (3 + 5x + 2x2)

Add '-2x2' to each side of the equation.
-6 + 4x + 2x2 + -2x2 = 3 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + 4x + 0 = 3 + 5x + 2x2 + -2x2
-6 + 4x = 3 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + 4x = 3 + 5x + 0
-6 + 4x = 3 + 5x

Solving
-6 + 4x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 4x + -5x = 3 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-6 + -1x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -1x = 3 + 0
-6 + -1x = 3

Add '6' to each side of the equation.
-6 + 6 + -1x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 3 + 6
-1x = 3 + 6

Combine like terms: 3 + 6 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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