(2x-3x)2+(2x+3x)2=(81)2

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Solution for (2x-3x)2+(2x+3x)2=(81)2 equation: 


Simplifying
(2x + -3x) * 2 + (2x + 3x) * 2 = (81) * 2

Combine like terms: 2x + -3x = -1x
(-1x) * 2 + (2x + 3x) * 2 = (81) * 2

Remove parenthesis around (-1x)
-1x * 2 + (2x + 3x) * 2 = (81) * 2

Reorder the terms for easier multiplication:
-1 * 2x + (2x + 3x) * 2 = (81) * 2

Multiply -1 * 2
-2x + (2x + 3x) * 2 = (81) * 2

Combine like terms: 2x + 3x = 5x
-2x + (5x) * 2 = (81) * 2

Remove parenthesis around (5x)
-2x + 5x * 2 = (81) * 2

Reorder the terms for easier multiplication:
-2x + 5 * 2x = (81) * 2

Multiply 5 * 2
-2x + 10x = (81) * 2

Combine like terms: -2x + 10x = 8x
8x = (81) * 2

Multiply 81 * 2
8x = 162

Solving
8x = 162

Solving for variable 'x'.

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

Divide each side by '8'.
x = 20.25

Simplifying
x = 20.25

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