2(x-3)(5x-1)-8=(2x-3)(5x+2)+9

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Solution for 2(x-3)(5x-1)-8=(2x-3)(5x+2)+9 equation: 


Simplifying
2(x + -3)(5x + -1) + -8 = (2x + -3)(5x + 2) + 9

Reorder the terms:
2(-3 + x)(5x + -1) + -8 = (2x + -3)(5x + 2) + 9

Reorder the terms:
2(-3 + x)(-1 + 5x) + -8 = (2x + -3)(5x + 2) + 9

Multiply (-3 + x) * (-1 + 5x)
2(-3(-1 + 5x) + x(-1 + 5x)) + -8 = (2x + -3)(5x + 2) + 9
2((-1 * -3 + 5x * -3) + x(-1 + 5x)) + -8 = (2x + -3)(5x + 2) + 9
2((3 + -15x) + x(-1 + 5x)) + -8 = (2x + -3)(5x + 2) + 9
2(3 + -15x + (-1 * x + 5x * x)) + -8 = (2x + -3)(5x + 2) + 9
2(3 + -15x + (-1x + 5x2)) + -8 = (2x + -3)(5x + 2) + 9

Combine like terms: -15x + -1x = -16x
2(3 + -16x + 5x2) + -8 = (2x + -3)(5x + 2) + 9
(3 * 2 + -16x * 2 + 5x2 * 2) + -8 = (2x + -3)(5x + 2) + 9
(6 + -32x + 10x2) + -8 = (2x + -3)(5x + 2) + 9

Reorder the terms:
6 + -8 + -32x + 10x2 = (2x + -3)(5x + 2) + 9

Combine like terms: 6 + -8 = -2
-2 + -32x + 10x2 = (2x + -3)(5x + 2) + 9

Reorder the terms:
-2 + -32x + 10x2 = (-3 + 2x)(5x + 2) + 9

Reorder the terms:
-2 + -32x + 10x2 = (-3 + 2x)(2 + 5x) + 9

Multiply (-3 + 2x) * (2 + 5x)
-2 + -32x + 10x2 = (-3(2 + 5x) + 2x * (2 + 5x)) + 9
-2 + -32x + 10x2 = ((2 * -3 + 5x * -3) + 2x * (2 + 5x)) + 9
-2 + -32x + 10x2 = ((-6 + -15x) + 2x * (2 + 5x)) + 9
-2 + -32x + 10x2 = (-6 + -15x + (2 * 2x + 5x * 2x)) + 9
-2 + -32x + 10x2 = (-6 + -15x + (4x + 10x2)) + 9

Combine like terms: -15x + 4x = -11x
-2 + -32x + 10x2 = (-6 + -11x + 10x2) + 9

Reorder the terms:
-2 + -32x + 10x2 = -6 + 9 + -11x + 10x2

Combine like terms: -6 + 9 = 3
-2 + -32x + 10x2 = 3 + -11x + 10x2

Add '-10x2' to each side of the equation.
-2 + -32x + 10x2 + -10x2 = 3 + -11x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-2 + -32x + 0 = 3 + -11x + 10x2 + -10x2
-2 + -32x = 3 + -11x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-2 + -32x = 3 + -11x + 0
-2 + -32x = 3 + -11x

Solving
-2 + -32x = 3 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
-2 + -32x + 11x = 3 + -11x + 11x

Combine like terms: -32x + 11x = -21x
-2 + -21x = 3 + -11x + 11x

Combine like terms: -11x + 11x = 0
-2 + -21x = 3 + 0
-2 + -21x = 3

Add '2' to each side of the equation.
-2 + 2 + -21x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -21x = 3 + 2
-21x = 3 + 2

Combine like terms: 3 + 2 = 5
-21x = 5

Divide each side by '-21'.
x = -0.2380952381

Simplifying
x = -0.2380952381

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