(4x-4)2+(3x+2)2=360

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Solution for (4x-4)2+(3x+2)2=360 equation:


Simplifying
(4x + -4) * 2 + (3x + 2) * 2 = 360

Reorder the terms:
(-4 + 4x) * 2 + (3x + 2) * 2 = 360

Reorder the terms for easier multiplication:
2(-4 + 4x) + (3x + 2) * 2 = 360
(-4 * 2 + 4x * 2) + (3x + 2) * 2 = 360
(-8 + 8x) + (3x + 2) * 2 = 360

Reorder the terms:
-8 + 8x + (2 + 3x) * 2 = 360

Reorder the terms for easier multiplication:
-8 + 8x + 2(2 + 3x) = 360
-8 + 8x + (2 * 2 + 3x * 2) = 360
-8 + 8x + (4 + 6x) = 360

Reorder the terms:
-8 + 4 + 8x + 6x = 360

Combine like terms: -8 + 4 = -4
-4 + 8x + 6x = 360

Combine like terms: 8x + 6x = 14x
-4 + 14x = 360

Solving
-4 + 14x = 360

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 + 4 + 14x = 360 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 360 + 4
14x = 360 + 4

Combine like terms: 360 + 4 = 364
14x = 364

Divide each side by '14'.
x = 26

Simplifying
x = 26

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