(x-8)*2+(y+14)*2=4

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Solution for (x-8)*2+(y+14)*2=4 equation: 


Simplifying
(x + -8) * 2 + (y + 14) * 2 = 4

Reorder the terms:
(-8 + x) * 2 + (y + 14) * 2 = 4

Reorder the terms for easier multiplication:
2(-8 + x) + (y + 14) * 2 = 4
(-8 * 2 + x * 2) + (y + 14) * 2 = 4
(-16 + 2x) + (y + 14) * 2 = 4

Reorder the terms:
-16 + 2x + (14 + y) * 2 = 4

Reorder the terms for easier multiplication:
-16 + 2x + 2(14 + y) = 4
-16 + 2x + (14 * 2 + y * 2) = 4
-16 + 2x + (28 + 2y) = 4

Reorder the terms:
-16 + 28 + 2x + 2y = 4

Combine like terms: -16 + 28 = 12
12 + 2x + 2y = 4

Solving
12 + 2x + 2y = 4

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 2x + -12 + 2y = 4 + -12

Reorder the terms:
12 + -12 + 2x + 2y = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 2x + 2y = 4 + -12
2x + 2y = 4 + -12

Combine like terms: 4 + -12 = -8
2x + 2y = -8

Add '-2y' to each side of the equation.
2x + 2y + -2y = -8 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = -8 + -2y
2x = -8 + -2y

Divide each side by '2'.
x = -4 + -1y

Simplifying
x = -4 + -1y

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