x^2+x-2=x^2+4x-8

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Solution for x^2+x-2=x^2+4x-8 equation:


Simplifying
x2 + x + -2 = x2 + 4x + -8

Reorder the terms:
-2 + x + x2 = x2 + 4x + -8

Reorder the terms:
-2 + x + x2 = -8 + 4x + x2

Add '-1x2' to each side of the equation.
-2 + x + x2 + -1x2 = -8 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + x + 0 = -8 + 4x + x2 + -1x2
-2 + x = -8 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + x = -8 + 4x + 0
-2 + x = -8 + 4x

Solving
-2 + x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + x + -4x = -8 + 4x + -4x

Combine like terms: x + -4x = -3x
-2 + -3x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -3x = -8 + 0
-2 + -3x = -8

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

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

Combine like terms: -8 + 2 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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