100=5x(10y)

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Solution for 100=5x(10y) equation:


Simplifying
100 = 5x(10y)

Remove parenthesis around (10y)
100 = 5x * 10y

Reorder the terms for easier multiplication:
100 = 5 * 10x * y

Multiply 5 * 10
100 = 50x * y

Multiply x * y
100 = 50xy

Solving
100 = 50xy

Solving for variable 'x'.

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

Add '-50xy' to each side of the equation.
100 + -50xy = 50xy + -50xy

Combine like terms: 50xy + -50xy = 0
100 + -50xy = 0

Add '-100' to each side of the equation.
100 + -100 + -50xy = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -50xy = 0 + -100
-50xy = 0 + -100

Combine like terms: 0 + -100 = -100
-50xy = -100

Divide each side by '-50y'.
x = 2y-1

Simplifying
x = 2y-1

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