(X+5)2=(x-7)2

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Solution for (X+5)2=(x-7)2 equation: 


Simplifying
(X + 5) * 2 = (x + -7) * 2

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

Reorder the terms for easier multiplication:
2(5 + X) = (x + -7) * 2
(5 * 2 + X * 2) = (x + -7) * 2
(10 + 2X) = (x + -7) * 2

Reorder the terms:
10 + 2X = (-7 + x) * 2

Reorder the terms for easier multiplication:
10 + 2X = 2(-7 + x)
10 + 2X = (-7 * 2 + x * 2)
10 + 2X = (-14 + 2x)

Solving
10 + 2X = -14 + 2x

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + -10 + 2X = -14 + -10 + 2x

Combine like terms: 10 + -10 = 0
0 + 2X = -14 + -10 + 2x
2X = -14 + -10 + 2x

Combine like terms: -14 + -10 = -24
2X = -24 + 2x

Divide each side by '2'.
X = -12 + x

Simplifying
X = -12 + x

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