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

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


Simplifying
(x + -2)(x + -2) + -1x(x + -4) = 4(x + -3)

Reorder the terms:
(-2 + x)(x + -2) + -1x(x + -4) = 4(x + -3)

Reorder the terms:
(-2 + x)(-2 + x) + -1x(x + -4) = 4(x + -3)

Multiply (-2 + x) * (-2 + x)
(-2(-2 + x) + x(-2 + x)) + -1x(x + -4) = 4(x + -3)
((-2 * -2 + x * -2) + x(-2 + x)) + -1x(x + -4) = 4(x + -3)
((4 + -2x) + x(-2 + x)) + -1x(x + -4) = 4(x + -3)
(4 + -2x + (-2 * x + x * x)) + -1x(x + -4) = 4(x + -3)
(4 + -2x + (-2x + x2)) + -1x(x + -4) = 4(x + -3)

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

Reorder the terms:
4 + -4x + x2 + -1x(-4 + x) = 4(x + -3)
4 + -4x + x2 + (-4 * -1x + x * -1x) = 4(x + -3)
4 + -4x + x2 + (4x + -1x2) = 4(x + -3)

Reorder the terms:
4 + -4x + 4x + x2 + -1x2 = 4(x + -3)

Combine like terms: -4x + 4x = 0
4 + 0 + x2 + -1x2 = 4(x + -3)
4 + x2 + -1x2 = 4(x + -3)

Combine like terms: x2 + -1x2 = 0
4 + 0 = 4(x + -3)
4 = 4(x + -3)

Reorder the terms:
4 = 4(-3 + x)
4 = (-3 * 4 + x * 4)
4 = (-12 + 4x)

Solving
4 = -12 + 4x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -12 + -4 = -16
-4x = -16

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

Simplifying
x = 4

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