(X-3)2-(2x-5)2=-16

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Solution for (X-3)2-(2x-5)2=-16 equation:


Simplifying
(X + -3) * 2 + -1(2x + -5) * 2 = -16

Reorder the terms:
(-3 + X) * 2 + -1(2x + -5) * 2 = -16

Reorder the terms for easier multiplication:
2(-3 + X) + -1(2x + -5) * 2 = -16
(-3 * 2 + X * 2) + -1(2x + -5) * 2 = -16
(-6 + 2X) + -1(2x + -5) * 2 = -16

Reorder the terms:
-6 + 2X + -1(-5 + 2x) * 2 = -16

Reorder the terms for easier multiplication:
-6 + 2X + -1 * 2(-5 + 2x) = -16

Multiply -1 * 2
-6 + 2X + -2(-5 + 2x) = -16
-6 + 2X + (-5 * -2 + 2x * -2) = -16
-6 + 2X + (10 + -4x) = -16

Reorder the terms:
-6 + 10 + 2X + -4x = -16

Combine like terms: -6 + 10 = 4
4 + 2X + -4x = -16

Solving
4 + 2X + -4x = -16

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 2X + -4 + -4x = -16 + -4

Reorder the terms:
4 + -4 + 2X + -4x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + 2X + -4x = -16 + -4
2X + -4x = -16 + -4

Combine like terms: -16 + -4 = -20
2X + -4x = -20

Add '4x' to each side of the equation.
2X + -4x + 4x = -20 + 4x

Combine like terms: -4x + 4x = 0
2X + 0 = -20 + 4x
2X = -20 + 4x

Divide each side by '2'.
X = -10 + 2x

Simplifying
X = -10 + 2x

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