(X)2+(x-7)2=(2x-11)2

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Solution for (X)2+(x-7)2=(2x-11)2 equation: 


Simplifying
(X) * 2 + (x + -7) * 2 = (2x + -11) * 2

Reorder the terms for easier multiplication:
2X + (x + -7) * 2 = (2x + -11) * 2

Reorder the terms:
2X + (-7 + x) * 2 = (2x + -11) * 2

Reorder the terms for easier multiplication:
2X + 2(-7 + x) = (2x + -11) * 2
2X + (-7 * 2 + x * 2) = (2x + -11) * 2
2X + (-14 + 2x) = (2x + -11) * 2

Reorder the terms:
-14 + 2X + 2x = (2x + -11) * 2

Reorder the terms:
-14 + 2X + 2x = (-11 + 2x) * 2

Reorder the terms for easier multiplication:
-14 + 2X + 2x = 2(-11 + 2x)
-14 + 2X + 2x = (-11 * 2 + 2x * 2)
-14 + 2X + 2x = (-22 + 4x)

Solving
-14 + 2X + 2x = -22 + 4x

Solving for variable 'X'.

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

Add '14' to each side of the equation.
-14 + 2X + 14 + 2x = -22 + 14 + 4x

Reorder the terms:
-14 + 14 + 2X + 2x = -22 + 14 + 4x

Combine like terms: -14 + 14 = 0
0 + 2X + 2x = -22 + 14 + 4x
2X + 2x = -22 + 14 + 4x

Combine like terms: -22 + 14 = -8
2X + 2x = -8 + 4x

Add '-2x' to each side of the equation.
2X + 2x + -2x = -8 + 4x + -2x

Combine like terms: 2x + -2x = 0
2X + 0 = -8 + 4x + -2x
2X = -8 + 4x + -2x

Combine like terms: 4x + -2x = 2x
2X = -8 + 2x

Divide each side by '2'.
X = -4 + x

Simplifying
X = -4 + x

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