(2x-1)(8x+3)=(4x+5)(4x-5)

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Solution for (2x-1)(8x+3)=(4x+5)(4x-5) equation: 


Simplifying
(2x + -1)(8x + 3) = (4x + 5)(4x + -5)

Reorder the terms:
(-1 + 2x)(8x + 3) = (4x + 5)(4x + -5)

Reorder the terms:
(-1 + 2x)(3 + 8x) = (4x + 5)(4x + -5)

Multiply (-1 + 2x) * (3 + 8x)
(-1(3 + 8x) + 2x * (3 + 8x)) = (4x + 5)(4x + -5)
((3 * -1 + 8x * -1) + 2x * (3 + 8x)) = (4x + 5)(4x + -5)
((-3 + -8x) + 2x * (3 + 8x)) = (4x + 5)(4x + -5)
(-3 + -8x + (3 * 2x + 8x * 2x)) = (4x + 5)(4x + -5)
(-3 + -8x + (6x + 16x2)) = (4x + 5)(4x + -5)

Combine like terms: -8x + 6x = -2x
(-3 + -2x + 16x2) = (4x + 5)(4x + -5)

Reorder the terms:
-3 + -2x + 16x2 = (5 + 4x)(4x + -5)

Reorder the terms:
-3 + -2x + 16x2 = (5 + 4x)(-5 + 4x)

Multiply (5 + 4x) * (-5 + 4x)
-3 + -2x + 16x2 = (5(-5 + 4x) + 4x * (-5 + 4x))
-3 + -2x + 16x2 = ((-5 * 5 + 4x * 5) + 4x * (-5 + 4x))
-3 + -2x + 16x2 = ((-25 + 20x) + 4x * (-5 + 4x))
-3 + -2x + 16x2 = (-25 + 20x + (-5 * 4x + 4x * 4x))
-3 + -2x + 16x2 = (-25 + 20x + (-20x + 16x2))

Combine like terms: 20x + -20x = 0
-3 + -2x + 16x2 = (-25 + 0 + 16x2)
-3 + -2x + 16x2 = (-25 + 16x2)

Add '-16x2' to each side of the equation.
-3 + -2x + 16x2 + -16x2 = -25 + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-3 + -2x + 0 = -25 + 16x2 + -16x2
-3 + -2x = -25 + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-3 + -2x = -25 + 0
-3 + -2x = -25

Solving
-3 + -2x = -25

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -2x = -25 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -25 + 3
-2x = -25 + 3

Combine like terms: -25 + 3 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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