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

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


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

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

Reorder the terms for easier multiplication:
2(-4 + x) = 5(y + 3)
(-4 * 2 + x * 2) = 5(y + 3)
(-8 + 2x) = 5(y + 3)

Reorder the terms:
-8 + 2x = 5(3 + y)
-8 + 2x = (3 * 5 + y * 5)
-8 + 2x = (15 + 5y)

Solving
-8 + 2x = 15 + 5y

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 15 + 8 + 5y

Combine like terms: -8 + 8 = 0
0 + 2x = 15 + 8 + 5y
2x = 15 + 8 + 5y

Combine like terms: 15 + 8 = 23
2x = 23 + 5y

Divide each side by '2'.
x = 11.5 + 2.5y

Simplifying
x = 11.5 + 2.5y

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