(2x+7)(4x+2)=(8x+3)(x-4)

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Solution for (2x+7)(4x+2)=(8x+3)(x-4) equation: 


Simplifying
(2x + 7)(4x + 2) = (8x + 3)(x + -4)

Reorder the terms:
(7 + 2x)(4x + 2) = (8x + 3)(x + -4)

Reorder the terms:
(7 + 2x)(2 + 4x) = (8x + 3)(x + -4)

Multiply (7 + 2x) * (2 + 4x)
(7(2 + 4x) + 2x * (2 + 4x)) = (8x + 3)(x + -4)
((2 * 7 + 4x * 7) + 2x * (2 + 4x)) = (8x + 3)(x + -4)
((14 + 28x) + 2x * (2 + 4x)) = (8x + 3)(x + -4)
(14 + 28x + (2 * 2x + 4x * 2x)) = (8x + 3)(x + -4)
(14 + 28x + (4x + 8x2)) = (8x + 3)(x + -4)

Combine like terms: 28x + 4x = 32x
(14 + 32x + 8x2) = (8x + 3)(x + -4)

Reorder the terms:
14 + 32x + 8x2 = (3 + 8x)(x + -4)

Reorder the terms:
14 + 32x + 8x2 = (3 + 8x)(-4 + x)

Multiply (3 + 8x) * (-4 + x)
14 + 32x + 8x2 = (3(-4 + x) + 8x * (-4 + x))
14 + 32x + 8x2 = ((-4 * 3 + x * 3) + 8x * (-4 + x))
14 + 32x + 8x2 = ((-12 + 3x) + 8x * (-4 + x))
14 + 32x + 8x2 = (-12 + 3x + (-4 * 8x + x * 8x))
14 + 32x + 8x2 = (-12 + 3x + (-32x + 8x2))

Combine like terms: 3x + -32x = -29x
14 + 32x + 8x2 = (-12 + -29x + 8x2)

Add '-8x2' to each side of the equation.
14 + 32x + 8x2 + -8x2 = -12 + -29x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
14 + 32x + 0 = -12 + -29x + 8x2 + -8x2
14 + 32x = -12 + -29x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
14 + 32x = -12 + -29x + 0
14 + 32x = -12 + -29x

Solving
14 + 32x = -12 + -29x

Solving for variable 'x'.

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

Add '29x' to each side of the equation.
14 + 32x + 29x = -12 + -29x + 29x

Combine like terms: 32x + 29x = 61x
14 + 61x = -12 + -29x + 29x

Combine like terms: -29x + 29x = 0
14 + 61x = -12 + 0
14 + 61x = -12

Add '-14' to each side of the equation.
14 + -14 + 61x = -12 + -14

Combine like terms: 14 + -14 = 0
0 + 61x = -12 + -14
61x = -12 + -14

Combine like terms: -12 + -14 = -26
61x = -26

Divide each side by '61'.
x = -0.4262295082

Simplifying
x = -0.4262295082

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