(x+6)*2+(y-9)*2=4

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Solution for (x+6)*2+(y-9)*2=4 equation: 


Simplifying
(x + 6) * 2 + (y + -9) * 2 = 4

Reorder the terms:
(6 + x) * 2 + (y + -9) * 2 = 4

Reorder the terms for easier multiplication:
2(6 + x) + (y + -9) * 2 = 4
(6 * 2 + x * 2) + (y + -9) * 2 = 4
(12 + 2x) + (y + -9) * 2 = 4

Reorder the terms:
12 + 2x + (-9 + y) * 2 = 4

Reorder the terms for easier multiplication:
12 + 2x + 2(-9 + y) = 4
12 + 2x + (-9 * 2 + y * 2) = 4
12 + 2x + (-18 + 2y) = 4

Reorder the terms:
12 + -18 + 2x + 2y = 4

Combine like terms: 12 + -18 = -6
-6 + 2x + 2y = 4

Solving
-6 + 2x + 2y = 4

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 2x + 6 + 2y = 4 + 6

Reorder the terms:
-6 + 6 + 2x + 2y = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 2x + 2y = 4 + 6
2x + 2y = 4 + 6

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

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

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

Divide each side by '2'.
x = 5 + -1y

Simplifying
x = 5 + -1y

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