x^2-3x-2=x^2-2x

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


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

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

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

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

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

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

Solving
-2 + -3x = -2x

Solving for variable 'x'.

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

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

Combine like terms: -3x + 2x = -1x
-2 + -1x = -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + -1x = 0

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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