2x^2-4x=2x^2-3x-54

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Solution for 2x^2-4x=2x^2-3x-54 equation:


Simplifying
2x2 + -4x = 2x2 + -3x + -54

Reorder the terms:
-4x + 2x2 = 2x2 + -3x + -54

Reorder the terms:
-4x + 2x2 = -54 + -3x + 2x2

Add '-2x2' to each side of the equation.
-4x + 2x2 + -2x2 = -54 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-4x + 0 = -54 + -3x + 2x2 + -2x2
-4x = -54 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-4x = -54 + -3x + 0
-4x = -54 + -3x

Solving
-4x = -54 + -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.
-4x + 3x = -54 + -3x + 3x

Combine like terms: -4x + 3x = -1x
-1x = -54 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1x = -54 + 0
-1x = -54

Divide each side by '-1'.
x = 54

Simplifying
x = 54

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