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

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


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

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

Remove parenthesis around (-5 + x)
-5 + x = 4(y + -2)

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

Solving
-5 + x = -8 + 4y

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -8 + 5 + 4y

Combine like terms: -5 + 5 = 0
0 + x = -8 + 5 + 4y
x = -8 + 5 + 4y

Combine like terms: -8 + 5 = -3
x = -3 + 4y

Simplifying
x = -3 + 4y

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