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

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


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

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

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

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

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

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

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

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

Combine like terms: -6x + -1x = -7x
-4 + -6x + -2x2 = (-3 + -7x + -2x2)

Add '2x2' to each side of the equation.
-4 + -6x + -2x2 + 2x2 = -3 + -7x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-4 + -6x + 0 = -3 + -7x + -2x2 + 2x2
-4 + -6x = -3 + -7x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-4 + -6x = -3 + -7x + 0
-4 + -6x = -3 + -7x

Solving
-4 + -6x = -3 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-4 + -6x + 7x = -3 + -7x + 7x

Combine like terms: -6x + 7x = 1x
-4 + 1x = -3 + -7x + 7x

Combine like terms: -7x + 7x = 0
-4 + 1x = -3 + 0
-4 + 1x = -3

Add '4' to each side of the equation.
-4 + 4 + 1x = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -3 + 4
1x = -3 + 4

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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