(2x-(-4))(3x+(-2))=3-(5-3x)(2x+3)

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Solution for (2x-(-4))(3x+(-2))=3-(5-3x)(2x+3) equation:


Simplifying
(2x + -1(-4))(3x + (-2)) = 3 + -1(5 + -3x)(2x + 3)

Multiply -1 * -4
(2x + 4)(3x + (-2)) = 3 + -1(5 + -3x)(2x + 3)

Reorder the terms:
(4 + 2x)(3x + (-2)) = 3 + -1(5 + -3x)(2x + 3)
(4 + 2x)(3x + -2) = 3 + -1(5 + -3x)(2x + 3)

Reorder the terms:
(4 + 2x)(-2 + 3x) = 3 + -1(5 + -3x)(2x + 3)

Multiply (4 + 2x) * (-2 + 3x)
(4(-2 + 3x) + 2x * (-2 + 3x)) = 3 + -1(5 + -3x)(2x + 3)
((-2 * 4 + 3x * 4) + 2x * (-2 + 3x)) = 3 + -1(5 + -3x)(2x + 3)
((-8 + 12x) + 2x * (-2 + 3x)) = 3 + -1(5 + -3x)(2x + 3)
(-8 + 12x + (-2 * 2x + 3x * 2x)) = 3 + -1(5 + -3x)(2x + 3)
(-8 + 12x + (-4x + 6x2)) = 3 + -1(5 + -3x)(2x + 3)

Combine like terms: 12x + -4x = 8x
(-8 + 8x + 6x2) = 3 + -1(5 + -3x)(2x + 3)

Reorder the terms:
-8 + 8x + 6x2 = 3 + -1(5 + -3x)(3 + 2x)

Multiply (5 + -3x) * (3 + 2x)
-8 + 8x + 6x2 = 3 + -1(5(3 + 2x) + -3x * (3 + 2x))
-8 + 8x + 6x2 = 3 + -1((3 * 5 + 2x * 5) + -3x * (3 + 2x))
-8 + 8x + 6x2 = 3 + -1((15 + 10x) + -3x * (3 + 2x))
-8 + 8x + 6x2 = 3 + -1(15 + 10x + (3 * -3x + 2x * -3x))
-8 + 8x + 6x2 = 3 + -1(15 + 10x + (-9x + -6x2))

Combine like terms: 10x + -9x = 1x
-8 + 8x + 6x2 = 3 + -1(15 + 1x + -6x2)
-8 + 8x + 6x2 = 3 + (15 * -1 + 1x * -1 + -6x2 * -1)
-8 + 8x + 6x2 = 3 + (-15 + -1x + 6x2)

Combine like terms: 3 + -15 = -12
-8 + 8x + 6x2 = -12 + -1x + 6x2

Add '-6x2' to each side of the equation.
-8 + 8x + 6x2 + -6x2 = -12 + -1x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8 + 8x + 0 = -12 + -1x + 6x2 + -6x2
-8 + 8x = -12 + -1x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8 + 8x = -12 + -1x + 0
-8 + 8x = -12 + -1x

Solving
-8 + 8x = -12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 8x + x = -12 + -1x + x

Combine like terms: 8x + x = 9x
-8 + 9x = -12 + -1x + x

Combine like terms: -1x + x = 0
-8 + 9x = -12 + 0
-8 + 9x = -12

Add '8' to each side of the equation.
-8 + 8 + 9x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = -12 + 8
9x = -12 + 8

Combine like terms: -12 + 8 = -4
9x = -4

Divide each side by '9'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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