2+x(x-4)=3+x(x-4)-2x

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Solution for 2+x(x-4)=3+x(x-4)-2x equation: 


Simplifying
2 + x(x + -4) = 3 + x(x + -4) + -2x

Reorder the terms:
2 + x(-4 + x) = 3 + x(x + -4) + -2x
2 + (-4 * x + x * x) = 3 + x(x + -4) + -2x
2 + (-4x + x2) = 3 + x(x + -4) + -2x

Reorder the terms:
2 + -4x + x2 = 3 + x(-4 + x) + -2x
2 + -4x + x2 = 3 + (-4 * x + x * x) + -2x
2 + -4x + x2 = 3 + (-4x + x2) + -2x

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

Combine like terms: -4x + -2x = -6x
2 + -4x + x2 = 3 + -6x + x2

Add '-1x2' to each side of the equation.
2 + -4x + x2 + -1x2 = 3 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -4x + 0 = 3 + -6x + x2 + -1x2
2 + -4x = 3 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -4x = 3 + -6x + 0
2 + -4x = 3 + -6x

Solving
2 + -4x = 3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2 + -4x + 6x = 3 + -6x + 6x

Combine like terms: -4x + 6x = 2x
2 + 2x = 3 + -6x + 6x

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

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

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

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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