x(2x-1)=2x*x+5x-12

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Solution for x(2x-1)=2x*x+5x-12 equation: 


Simplifying
x(2x + -1) = 2x * x + 5x + -12

Reorder the terms:
x(-1 + 2x) = 2x * x + 5x + -12
(-1 * x + 2x * x) = 2x * x + 5x + -12
(-1x + 2x2) = 2x * x + 5x + -12

Multiply x * x
-1x + 2x2 = 2x2 + 5x + -12

Reorder the terms:
-1x + 2x2 = -12 + 5x + 2x2

Add '-2x2' to each side of the equation.
-1x + 2x2 + -2x2 = -12 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1x + 0 = -12 + 5x + 2x2 + -2x2
-1x = -12 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1x = -12 + 5x + 0
-1x = -12 + 5x

Solving
-1x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1x + -5x = -12 + 5x + -5x

Combine like terms: -1x + -5x = -6x
-6x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6x = -12 + 0
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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