(x-5)z=4y

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


Simplifying
(x + -5) * z = 4y

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

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

Reorder the terms:
(xz + -5z) = 4y
(xz + -5z) = 4y

Solving
xz + -5z = 4y

Solving for variable 'x'.

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

Add '5z' to each side of the equation.
xz + -5z + 5z = 4y + 5z

Combine like terms: -5z + 5z = 0
xz + 0 = 4y + 5z
xz = 4y + 5z

Divide each side by 'z'.
x = 4yz-1 + 5

Simplifying
x = 4yz-1 + 5

Reorder the terms:
x = 5 + 4yz-1

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