49573x+84849y=3(3833x+7336y)+7338x

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Solution for 49573x+84849y=3(3833x+7336y)+7338x equation:


Simplifying
49573x + 84849y = 3(3833x + 7336y) + 7338x
49573x + 84849y = (3833x * 3 + 7336y * 3) + 7338x
49573x + 84849y = (11499x + 22008y) + 7338x

Reorder the terms:
49573x + 84849y = 11499x + 7338x + 22008y

Combine like terms: 11499x + 7338x = 18837x
49573x + 84849y = 18837x + 22008y

Solving
49573x + 84849y = 18837x + 22008y

Solving for variable 'x'.

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

Add '-18837x' to each side of the equation.
49573x + -18837x + 84849y = 18837x + -18837x + 22008y

Combine like terms: 49573x + -18837x = 30736x
30736x + 84849y = 18837x + -18837x + 22008y

Combine like terms: 18837x + -18837x = 0
30736x + 84849y = 0 + 22008y
30736x + 84849y = 22008y

Add '-84849y' to each side of the equation.
30736x + 84849y + -84849y = 22008y + -84849y

Combine like terms: 84849y + -84849y = 0
30736x + 0 = 22008y + -84849y
30736x = 22008y + -84849y

Combine like terms: 22008y + -84849y = -62841y
30736x = -62841y

Divide each side by '30736'.
x = -2.044540604y

Simplifying
x = -2.044540604y

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