(x*10+y*40)*52=42000

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Solution for (x*10+y*40)*52=42000 equation:


Simplifying
(x * 10 + y * 40) * 52 = 42000

Reorder the terms for easier multiplication:
(10x + y * 40) * 52 = 42000

Reorder the terms for easier multiplication:
(10x + 40y) * 52 = 42000

Reorder the terms for easier multiplication:
52(10x + 40y) = 42000
(10x * 52 + 40y * 52) = 42000
(520x + 2080y) = 42000

Solving
520x + 2080y = 42000

Solving for variable 'x'.

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

Add '-2080y' to each side of the equation.
520x + 2080y + -2080y = 42000 + -2080y

Combine like terms: 2080y + -2080y = 0
520x + 0 = 42000 + -2080y
520x = 42000 + -2080y

Divide each side by '520'.
x = 80.76923077 + -4y

Simplifying
x = 80.76923077 + -4y

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