(-4-5x)(4x-5)=(10x-3)(7-2x)

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Solution for (-4-5x)(4x-5)=(10x-3)(7-2x) equation: 


Simplifying
(-4 + -5x)(4x + -5) = (10x + -3)(7 + -2x)

Reorder the terms:
(-4 + -5x)(-5 + 4x) = (10x + -3)(7 + -2x)

Multiply (-4 + -5x) * (-5 + 4x)
(-4(-5 + 4x) + -5x * (-5 + 4x)) = (10x + -3)(7 + -2x)
((-5 * -4 + 4x * -4) + -5x * (-5 + 4x)) = (10x + -3)(7 + -2x)
((20 + -16x) + -5x * (-5 + 4x)) = (10x + -3)(7 + -2x)
(20 + -16x + (-5 * -5x + 4x * -5x)) = (10x + -3)(7 + -2x)
(20 + -16x + (25x + -20x2)) = (10x + -3)(7 + -2x)

Combine like terms: -16x + 25x = 9x
(20 + 9x + -20x2) = (10x + -3)(7 + -2x)

Reorder the terms:
20 + 9x + -20x2 = (-3 + 10x)(7 + -2x)

Multiply (-3 + 10x) * (7 + -2x)
20 + 9x + -20x2 = (-3(7 + -2x) + 10x * (7 + -2x))
20 + 9x + -20x2 = ((7 * -3 + -2x * -3) + 10x * (7 + -2x))
20 + 9x + -20x2 = ((-21 + 6x) + 10x * (7 + -2x))
20 + 9x + -20x2 = (-21 + 6x + (7 * 10x + -2x * 10x))
20 + 9x + -20x2 = (-21 + 6x + (70x + -20x2))

Combine like terms: 6x + 70x = 76x
20 + 9x + -20x2 = (-21 + 76x + -20x2)

Add '20x2' to each side of the equation.
20 + 9x + -20x2 + 20x2 = -21 + 76x + -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
20 + 9x + 0 = -21 + 76x + -20x2 + 20x2
20 + 9x = -21 + 76x + -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
20 + 9x = -21 + 76x + 0
20 + 9x = -21 + 76x

Solving
20 + 9x = -21 + 76x

Solving for variable 'x'.

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

Add '-76x' to each side of the equation.
20 + 9x + -76x = -21 + 76x + -76x

Combine like terms: 9x + -76x = -67x
20 + -67x = -21 + 76x + -76x

Combine like terms: 76x + -76x = 0
20 + -67x = -21 + 0
20 + -67x = -21

Add '-20' to each side of the equation.
20 + -20 + -67x = -21 + -20

Combine like terms: 20 + -20 = 0
0 + -67x = -21 + -20
-67x = -21 + -20

Combine like terms: -21 + -20 = -41
-67x = -41

Divide each side by '-67'.
x = 0.6119402985

Simplifying
x = 0.6119402985

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