(2x+5)2+(3x+25)2=180

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Solution for (2x+5)2+(3x+25)2=180 equation: 


Simplifying
(2x + 5) * 2 + (3x + 25) * 2 = 180

Reorder the terms:
(5 + 2x) * 2 + (3x + 25) * 2 = 180

Reorder the terms for easier multiplication:
2(5 + 2x) + (3x + 25) * 2 = 180
(5 * 2 + 2x * 2) + (3x + 25) * 2 = 180
(10 + 4x) + (3x + 25) * 2 = 180

Reorder the terms:
10 + 4x + (25 + 3x) * 2 = 180

Reorder the terms for easier multiplication:
10 + 4x + 2(25 + 3x) = 180
10 + 4x + (25 * 2 + 3x * 2) = 180
10 + 4x + (50 + 6x) = 180

Reorder the terms:
10 + 50 + 4x + 6x = 180

Combine like terms: 10 + 50 = 60
60 + 4x + 6x = 180

Combine like terms: 4x + 6x = 10x
60 + 10x = 180

Solving
60 + 10x = 180

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 10x = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 10x = 180 + -60
10x = 180 + -60

Combine like terms: 180 + -60 = 120
10x = 120

Divide each side by '10'.
x = 12

Simplifying
x = 12

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