(8x+3)(2x+4)=(4x+3)(4x-1)

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Solution for (8x+3)(2x+4)=(4x+3)(4x-1) equation: 


Simplifying
(8x + 3)(2x + 4) = (4x + 3)(4x + -1)

Reorder the terms:
(3 + 8x)(2x + 4) = (4x + 3)(4x + -1)

Reorder the terms:
(3 + 8x)(4 + 2x) = (4x + 3)(4x + -1)

Multiply (3 + 8x) * (4 + 2x)
(3(4 + 2x) + 8x * (4 + 2x)) = (4x + 3)(4x + -1)
((4 * 3 + 2x * 3) + 8x * (4 + 2x)) = (4x + 3)(4x + -1)
((12 + 6x) + 8x * (4 + 2x)) = (4x + 3)(4x + -1)
(12 + 6x + (4 * 8x + 2x * 8x)) = (4x + 3)(4x + -1)
(12 + 6x + (32x + 16x2)) = (4x + 3)(4x + -1)

Combine like terms: 6x + 32x = 38x
(12 + 38x + 16x2) = (4x + 3)(4x + -1)

Reorder the terms:
12 + 38x + 16x2 = (3 + 4x)(4x + -1)

Reorder the terms:
12 + 38x + 16x2 = (3 + 4x)(-1 + 4x)

Multiply (3 + 4x) * (-1 + 4x)
12 + 38x + 16x2 = (3(-1 + 4x) + 4x * (-1 + 4x))
12 + 38x + 16x2 = ((-1 * 3 + 4x * 3) + 4x * (-1 + 4x))
12 + 38x + 16x2 = ((-3 + 12x) + 4x * (-1 + 4x))
12 + 38x + 16x2 = (-3 + 12x + (-1 * 4x + 4x * 4x))
12 + 38x + 16x2 = (-3 + 12x + (-4x + 16x2))

Combine like terms: 12x + -4x = 8x
12 + 38x + 16x2 = (-3 + 8x + 16x2)

Add '-16x2' to each side of the equation.
12 + 38x + 16x2 + -16x2 = -3 + 8x + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
12 + 38x + 0 = -3 + 8x + 16x2 + -16x2
12 + 38x = -3 + 8x + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
12 + 38x = -3 + 8x + 0
12 + 38x = -3 + 8x

Solving
12 + 38x = -3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 38x + -8x = -3 + 8x + -8x

Combine like terms: 38x + -8x = 30x
12 + 30x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + 30x = -3 + 0
12 + 30x = -3

Add '-12' to each side of the equation.
12 + -12 + 30x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 30x = -3 + -12
30x = -3 + -12

Combine like terms: -3 + -12 = -15
30x = -15

Divide each side by '30'.
x = -0.5

Simplifying
x = -0.5

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