2x^2-2-x=x(2x-3)+6

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


Simplifying
2x2 + -2 + -1x = x(2x + -3) + 6

Reorder the terms:
-2 + -1x + 2x2 = x(2x + -3) + 6

Reorder the terms:
-2 + -1x + 2x2 = x(-3 + 2x) + 6
-2 + -1x + 2x2 = (-3 * x + 2x * x) + 6
-2 + -1x + 2x2 = (-3x + 2x2) + 6

Reorder the terms:
-2 + -1x + 2x2 = 6 + -3x + 2x2

Add '-2x2' to each side of the equation.
-2 + -1x + 2x2 + -2x2 = 6 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + -1x + 0 = 6 + -3x + 2x2 + -2x2
-2 + -1x = 6 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + -1x = 6 + -3x + 0
-2 + -1x = 6 + -3x

Solving
-2 + -1x = 6 + -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 + -1x + 3x = 6 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-2 + 2x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 2x = 6 + 0
-2 + 2x = 6

Add '2' to each side of the equation.
-2 + 2 + 2x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 6 + 2
2x = 6 + 2

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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