5x(8x+5x-2x+9x*2)-5=504-322+(-145)+91

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Solution for 5x(8x+5x-2x+9x*2)-5=504-322+(-145)+91 equation: 


Simplifying
5x(8x + 5x + -2x + 9x * 2) + -5 = 504 + -322 + (-145) + 91

Reorder the terms for easier multiplication:
5x(8x + 5x + -2x + 9 * 2x) + -5 = 504 + -322 + (-145) + 91

Multiply 9 * 2
5x(8x + 5x + -2x + 18x) + -5 = 504 + -322 + (-145) + 91

Combine like terms: 8x + 5x = 13x
5x(13x + -2x + 18x) + -5 = 504 + -322 + (-145) + 91

Combine like terms: 13x + -2x = 11x
5x(11x + 18x) + -5 = 504 + -322 + (-145) + 91

Combine like terms: 11x + 18x = 29x
5x(29x) + -5 = 504 + -322 + (-145) + 91

Remove parenthesis around (29x)
5x * 29x + -5 = 504 + -322 + (-145) + 91

Reorder the terms for easier multiplication:
5 * 29x * x + -5 = 504 + -322 + (-145) + 91

Multiply 5 * 29
145x * x + -5 = 504 + -322 + (-145) + 91

Multiply x * x
145x2 + -5 = 504 + -322 + (-145) + 91

Reorder the terms:
-5 + 145x2 = 504 + -322 + (-145) + 91
-5 + 145x2 = 504 + -322 + -145 + 91

Combine like terms: 504 + -322 = 182
-5 + 145x2 = 182 + -145 + 91

Combine like terms: 182 + -145 = 37
-5 + 145x2 = 37 + 91

Combine like terms: 37 + 91 = 128
-5 + 145x2 = 128

Solving
-5 + 145x2 = 128

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 145x2 = 128 + 5

Combine like terms: -5 + 5 = 0
0 + 145x2 = 128 + 5
145x2 = 128 + 5

Combine like terms: 128 + 5 = 133
145x2 = 133

Divide each side by '145'.
x2 = 0.9172413793

Simplifying
x2 = 0.9172413793

Take the square root of each side:
x = {-0.957727195, 0.957727195}

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