(x+3)2+(y+8)2=100

Solution for (x+3)2+(y+8)2=100 equation:

Simplifying
(x + 3) * 2 + (y + 8) * 2 = 100

Reorder the terms:
(3 + x) * 2 + (y + 8) * 2 = 100

Reorder the terms for easier multiplication:
2(3 + x) + (y + 8) * 2 = 100
(3 * 2 + x * 2) + (y + 8) * 2 = 100
(6 + 2x) + (y + 8) * 2 = 100

Reorder the terms:
6 + 2x + (8 + y) * 2 = 100

Reorder the terms for easier multiplication:
6 + 2x + 2(8 + y) = 100
6 + 2x + (8 * 2 + y * 2) = 100
6 + 2x + (16 + 2y) = 100

Reorder the terms:
6 + 16 + 2x + 2y = 100

Combine like terms: 6 + 16 = 22
22 + 2x + 2y = 100

Solving
22 + 2x + 2y = 100

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + 2x + -22 + 2y = 100 + -22

Reorder the terms:
22 + -22 + 2x + 2y = 100 + -22

Combine like terms: 22 + -22 = 0
0 + 2x + 2y = 100 + -22
2x + 2y = 100 + -22

Combine like terms: 100 + -22 = 78
2x + 2y = 78

Add '-2y' to each side of the equation.
2x + 2y + -2y = 78 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 78 + -2y
2x = 78 + -2y

Divide each side by '2'.
x = 39 + -1y

Simplifying
x = 39 + -1y