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

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

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

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

Reorder the terms for easier multiplication:
2(8 + x) + (y + -3) * 2 = 100
(8 * 2 + x * 2) + (y + -3) * 2 = 100
(16 + 2x) + (y + -3) * 2 = 100

Reorder the terms:
16 + 2x + (-3 + y) * 2 = 100

Reorder the terms for easier multiplication:
16 + 2x + 2(-3 + y) = 100
16 + 2x + (-3 * 2 + y * 2) = 100
16 + 2x + (-6 + 2y) = 100

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

Combine like terms: 16 + -6 = 10
10 + 2x + 2y = 100

Solving
10 + 2x + 2y = 100

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 2x + -10 + 2y = 100 + -10

Reorder the terms:
10 + -10 + 2x + 2y = 100 + -10

Combine like terms: 10 + -10 = 0
0 + 2x + 2y = 100 + -10
2x + 2y = 100 + -10

Combine like terms: 100 + -10 = 90
2x + 2y = 90

Add '-2y' to each side of the equation.
2x + 2y + -2y = 90 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 90 + -2y
2x = 90 + -2y

Divide each side by '2'.
x = 45 + -1y

Simplifying
x = 45 + -1y