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 = -14x
2(-3 + -14x + 5x2) + -8 = (2x + -3)(5x + 2) + 9
(-3 * 2 + -14x * 2 + 5x2 * 2) + -8 = (2x + -3)(5x + 2) + 9
(-6 + -28x + 10x2) + -8 = (2x + -3)(5x + 2) + 9

Reorder the terms:
-6 + -8 + -28x + 10x2 = (2x + -3)(5x + 2) + 9

Combine like terms: -6 + -8 = -14
-14 + -28x + 10x2 = (2x + -3)(5x + 2) + 9

Reorder the terms:
-14 + -28x + 10x2 = (-3 + 2x)(5x + 2) + 9

Reorder the terms:
-14 + -28x + 10x2 = (-3 + 2x)(2 + 5x) + 9

Multiply (-3 + 2x) * (2 + 5x)
-14 + -28x + 10x2 = (-3(2 + 5x) + 2x * (2 + 5x)) + 9
-14 + -28x + 10x2 = ((2 * -3 + 5x * -3) + 2x * (2 + 5x)) + 9
-14 + -28x + 10x2 = ((-6 + -15x) + 2x * (2 + 5x)) + 9
-14 + -28x + 10x2 = (-6 + -15x + (2 * 2x + 5x * 2x)) + 9
-14 + -28x + 10x2 = (-6 + -15x + (4x + 10x2)) + 9

Combine like terms: -15x + 4x = -11x
-14 + -28x + 10x2 = (-6 + -11x + 10x2) + 9

Reorder the terms:
-14 + -28x + 10x2 = -6 + 9 + -11x + 10x2

Combine like terms: -6 + 9 = 3
-14 + -28x + 10x2 = 3 + -11x + 10x2

Add '-10x2' to each side of the equation.
-14 + -28x + 10x2 + -10x2 = 3 + -11x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-14 + -28x + 0 = 3 + -11x + 10x2 + -10x2
-14 + -28x = 3 + -11x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-14 + -28x = 3 + -11x + 0
-14 + -28x = 3 + -11x

Solving
-14 + -28x = 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.
-14 + -28x + 11x = 3 + -11x + 11x

Combine like terms: -28x + 11x = -17x
-14 + -17x = 3 + -11x + 11x

Combine like terms: -11x + 11x = 0
-14 + -17x = 3 + 0
-14 + -17x = 3

Add '14' to each side of the equation.
-14 + 14 + -17x = 3 + 14

Combine like terms: -14 + 14 = 0
0 + -17x = 3 + 14
-17x = 3 + 14

Combine like terms: 3 + 14 = 17
-17x = 17

Divide each side by '-17'.
x = -1

Simplifying
x = -1

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