5(1-2x+x^2)-6(x^2-3x-7)=x(x-3)-2x(x+5)-2

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Solution for 5(1-2x+x^2)-6(x^2-3x-7)=x(x-3)-2x(x+5)-2 equation: 


Simplifying
5(1 + -2x + x2) + -6(x2 + -3x + -7) = x(x + -3) + -2x(x + 5) + -2
(1 * 5 + -2x * 5 + x2 * 5) + -6(x2 + -3x + -7) = x(x + -3) + -2x(x + 5) + -2
(5 + -10x + 5x2) + -6(x2 + -3x + -7) = x(x + -3) + -2x(x + 5) + -2

Reorder the terms:
5 + -10x + 5x2 + -6(-7 + -3x + x2) = x(x + -3) + -2x(x + 5) + -2
5 + -10x + 5x2 + (-7 * -6 + -3x * -6 + x2 * -6) = x(x + -3) + -2x(x + 5) + -2
5 + -10x + 5x2 + (42 + 18x + -6x2) = x(x + -3) + -2x(x + 5) + -2

Reorder the terms:
5 + 42 + -10x + 18x + 5x2 + -6x2 = x(x + -3) + -2x(x + 5) + -2

Combine like terms: 5 + 42 = 47
47 + -10x + 18x + 5x2 + -6x2 = x(x + -3) + -2x(x + 5) + -2

Combine like terms: -10x + 18x = 8x
47 + 8x + 5x2 + -6x2 = x(x + -3) + -2x(x + 5) + -2

Combine like terms: 5x2 + -6x2 = -1x2
47 + 8x + -1x2 = x(x + -3) + -2x(x + 5) + -2

Reorder the terms:
47 + 8x + -1x2 = x(-3 + x) + -2x(x + 5) + -2
47 + 8x + -1x2 = (-3 * x + x * x) + -2x(x + 5) + -2
47 + 8x + -1x2 = (-3x + x2) + -2x(x + 5) + -2

Reorder the terms:
47 + 8x + -1x2 = -3x + x2 + -2x(5 + x) + -2
47 + 8x + -1x2 = -3x + x2 + (5 * -2x + x * -2x) + -2
47 + 8x + -1x2 = -3x + x2 + (-10x + -2x2) + -2

Reorder the terms:
47 + 8x + -1x2 = -2 + -3x + -10x + x2 + -2x2

Combine like terms: -3x + -10x = -13x
47 + 8x + -1x2 = -2 + -13x + x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
47 + 8x + -1x2 = -2 + -13x + -1x2

Add 'x2' to each side of the equation.
47 + 8x + -1x2 + x2 = -2 + -13x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
47 + 8x + 0 = -2 + -13x + -1x2 + x2
47 + 8x = -2 + -13x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
47 + 8x = -2 + -13x + 0
47 + 8x = -2 + -13x

Solving
47 + 8x = -2 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
47 + 8x + 13x = -2 + -13x + 13x

Combine like terms: 8x + 13x = 21x
47 + 21x = -2 + -13x + 13x

Combine like terms: -13x + 13x = 0
47 + 21x = -2 + 0
47 + 21x = -2

Add '-47' to each side of the equation.
47 + -47 + 21x = -2 + -47

Combine like terms: 47 + -47 = 0
0 + 21x = -2 + -47
21x = -2 + -47

Combine like terms: -2 + -47 = -49
21x = -49

Divide each side by '21'.
x = -2.333333333

Simplifying
x = -2.333333333

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