x^2-2x-1x-2=x^2-3x-4x-12

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Solution for x^2-2x-1x-2=x^2-3x-4x-12 equation:


Simplifying
x2 + -2x + -1x + -2 = x2 + -3x + -4x + -12

Reorder the terms:
-2 + -2x + -1x + x2 = x2 + -3x + -4x + -12

Combine like terms: -2x + -1x = -3x
-2 + -3x + x2 = x2 + -3x + -4x + -12

Reorder the terms:
-2 + -3x + x2 = -12 + -3x + -4x + x2

Combine like terms: -3x + -4x = -7x
-2 + -3x + x2 = -12 + -7x + x2

Add '-1x2' to each side of the equation.
-2 + -3x + x2 + -1x2 = -12 + -7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -3x + 0 = -12 + -7x + x2 + -1x2
-2 + -3x = -12 + -7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -3x = -12 + -7x + 0
-2 + -3x = -12 + -7x

Solving
-2 + -3x = -12 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-2 + -3x + 7x = -12 + -7x + 7x

Combine like terms: -3x + 7x = 4x
-2 + 4x = -12 + -7x + 7x

Combine like terms: -7x + 7x = 0
-2 + 4x = -12 + 0
-2 + 4x = -12

Add '2' to each side of the equation.
-2 + 2 + 4x = -12 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = -12 + 2
4x = -12 + 2

Combine like terms: -12 + 2 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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