17-(5x-1)(2x+3)=17-(10x+1)(x-6)

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Solution for 17-(5x-1)(2x+3)=17-(10x+1)(x-6) equation: 


Simplifying
17 + -1(5x + -1)(2x + 3) = 17 + -1(10x + 1)(x + -6)

Reorder the terms:
17 + -1(-1 + 5x)(2x + 3) = 17 + -1(10x + 1)(x + -6)

Reorder the terms:
17 + -1(-1 + 5x)(3 + 2x) = 17 + -1(10x + 1)(x + -6)

Multiply (-1 + 5x) * (3 + 2x)
17 + -1(-1(3 + 2x) + 5x * (3 + 2x)) = 17 + -1(10x + 1)(x + -6)
17 + -1((3 * -1 + 2x * -1) + 5x * (3 + 2x)) = 17 + -1(10x + 1)(x + -6)
17 + -1((-3 + -2x) + 5x * (3 + 2x)) = 17 + -1(10x + 1)(x + -6)
17 + -1(-3 + -2x + (3 * 5x + 2x * 5x)) = 17 + -1(10x + 1)(x + -6)
17 + -1(-3 + -2x + (15x + 10x2)) = 17 + -1(10x + 1)(x + -6)

Combine like terms: -2x + 15x = 13x
17 + -1(-3 + 13x + 10x2) = 17 + -1(10x + 1)(x + -6)
17 + (-3 * -1 + 13x * -1 + 10x2 * -1) = 17 + -1(10x + 1)(x + -6)
17 + (3 + -13x + -10x2) = 17 + -1(10x + 1)(x + -6)

Combine like terms: 17 + 3 = 20
20 + -13x + -10x2 = 17 + -1(10x + 1)(x + -6)

Reorder the terms:
20 + -13x + -10x2 = 17 + -1(1 + 10x)(x + -6)

Reorder the terms:
20 + -13x + -10x2 = 17 + -1(1 + 10x)(-6 + x)

Multiply (1 + 10x) * (-6 + x)
20 + -13x + -10x2 = 17 + -1(1(-6 + x) + 10x * (-6 + x))
20 + -13x + -10x2 = 17 + -1((-6 * 1 + x * 1) + 10x * (-6 + x))
20 + -13x + -10x2 = 17 + -1((-6 + 1x) + 10x * (-6 + x))
20 + -13x + -10x2 = 17 + -1(-6 + 1x + (-6 * 10x + x * 10x))
20 + -13x + -10x2 = 17 + -1(-6 + 1x + (-60x + 10x2))

Combine like terms: 1x + -60x = -59x
20 + -13x + -10x2 = 17 + -1(-6 + -59x + 10x2)
20 + -13x + -10x2 = 17 + (-6 * -1 + -59x * -1 + 10x2 * -1)
20 + -13x + -10x2 = 17 + (6 + 59x + -10x2)

Combine like terms: 17 + 6 = 23
20 + -13x + -10x2 = 23 + 59x + -10x2

Add '10x2' to each side of the equation.
20 + -13x + -10x2 + 10x2 = 23 + 59x + -10x2 + 10x2

Combine like terms: -10x2 + 10x2 = 0
20 + -13x + 0 = 23 + 59x + -10x2 + 10x2
20 + -13x = 23 + 59x + -10x2 + 10x2

Combine like terms: -10x2 + 10x2 = 0
20 + -13x = 23 + 59x + 0
20 + -13x = 23 + 59x

Solving
20 + -13x = 23 + 59x

Solving for variable 'x'.

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

Add '-59x' to each side of the equation.
20 + -13x + -59x = 23 + 59x + -59x

Combine like terms: -13x + -59x = -72x
20 + -72x = 23 + 59x + -59x

Combine like terms: 59x + -59x = 0
20 + -72x = 23 + 0
20 + -72x = 23

Add '-20' to each side of the equation.
20 + -20 + -72x = 23 + -20

Combine like terms: 20 + -20 = 0
0 + -72x = 23 + -20
-72x = 23 + -20

Combine like terms: 23 + -20 = 3
-72x = 3

Divide each side by '-72'.
x = -0.04166666667

Simplifying
x = -0.04166666667

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