x^2-8x-2=x^2-3x+2

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Solution for x^2-8x-2=x^2-3x+2 equation:


Simplifying
x2 + -8x + -2 = x2 + -3x + 2

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

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

Add '-1x2' to each side of the equation.
-2 + -8x + x2 + -1x2 = 2 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -8x + 0 = 2 + -3x + x2 + -1x2
-2 + -8x = 2 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -8x = 2 + -3x + 0
-2 + -8x = 2 + -3x

Solving
-2 + -8x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + -8x + 3x = 2 + -3x + 3x

Combine like terms: -8x + 3x = -5x
-2 + -5x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + -5x = 2 + 0
-2 + -5x = 2

Add '2' to each side of the equation.
-2 + 2 + -5x = 2 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 2 + 2
-5x = 2 + 2

Combine like terms: 2 + 2 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

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