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

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


Simplifying
0.5(3x + -8) + 4 = 2x + -5x(5x + 1)

Reorder the terms:
0.5(-8 + 3x) + 4 = 2x + -5x(5x + 1)
(-8 * 0.5 + 3x * 0.5) + 4 = 2x + -5x(5x + 1)
(-4 + 1.5x) + 4 = 2x + -5x(5x + 1)

Reorder the terms:
-4 + 4 + 1.5x = 2x + -5x(5x + 1)

Combine like terms: -4 + 4 = 0
0 + 1.5x = 2x + -5x(5x + 1)
1.5x = 2x + -5x(5x + 1)

Reorder the terms:
1.5x = 2x + -5x(1 + 5x)
1.5x = 2x + (1 * -5x + 5x * -5x)
1.5x = 2x + (-5x + -25x2)

Combine like terms: 2x + -5x = -3x
1.5x = -3x + -25x2

Solving
1.5x = -3x + -25x2

Solving for variable 'x'.

Combine like terms: 1.5x + 3x = 4.5x
4.5x + 25x2 = -3x + -25x2 + 3x + 25x2

Reorder the terms:
4.5x + 25x2 = -3x + 3x + -25x2 + 25x2

Combine like terms: -3x + 3x = 0
4.5x + 25x2 = 0 + -25x2 + 25x2
4.5x + 25x2 = -25x2 + 25x2

Combine like terms: -25x2 + 25x2 = 0
4.5x + 25x2 = 0

The solution to this equation could not be determined.

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