(x-5)2=4(y+3)

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Solution for (x-5)2=4(y+3) equation: 


Simplifying
(x + -5) * 2 = 4(y + 3)

Reorder the terms:
(-5 + x) * 2 = 4(y + 3)

Reorder the terms for easier multiplication:
2(-5 + x) = 4(y + 3)
(-5 * 2 + x * 2) = 4(y + 3)
(-10 + 2x) = 4(y + 3)

Reorder the terms:
-10 + 2x = 4(3 + y)
-10 + 2x = (3 * 4 + y * 4)
-10 + 2x = (12 + 4y)

Solving
-10 + 2x = 12 + 4y

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 + 10 + 2x = 12 + 10 + 4y

Combine like terms: -10 + 10 = 0
0 + 2x = 12 + 10 + 4y
2x = 12 + 10 + 4y

Combine like terms: 12 + 10 = 22
2x = 22 + 4y

Divide each side by '2'.
x = 11 + 2y

Simplifying
x = 11 + 2y

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