(x+3)2+(y-5)2=48

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Solution for (x+3)2+(y-5)2=48 equation:


Simplifying
(x + 3) * 2 + (y + -5) * 2 = 48

Reorder the terms:
(3 + x) * 2 + (y + -5) * 2 = 48

Reorder the terms for easier multiplication:
2(3 + x) + (y + -5) * 2 = 48
(3 * 2 + x * 2) + (y + -5) * 2 = 48
(6 + 2x) + (y + -5) * 2 = 48

Reorder the terms:
6 + 2x + (-5 + y) * 2 = 48

Reorder the terms for easier multiplication:
6 + 2x + 2(-5 + y) = 48
6 + 2x + (-5 * 2 + y * 2) = 48
6 + 2x + (-10 + 2y) = 48

Reorder the terms:
6 + -10 + 2x + 2y = 48

Combine like terms: 6 + -10 = -4
-4 + 2x + 2y = 48

Solving
-4 + 2x + 2y = 48

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 + 2y = 48 + 4

Reorder the terms:
-4 + 4 + 2x + 2y = 48 + 4

Combine like terms: -4 + 4 = 0
0 + 2x + 2y = 48 + 4
2x + 2y = 48 + 4

Combine like terms: 48 + 4 = 52
2x + 2y = 52

Add '-2y' to each side of the equation.
2x + 2y + -2y = 52 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 52 + -2y
2x = 52 + -2y

Divide each side by '2'.
x = 26 + -1y

Simplifying
x = 26 + -1y

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