2y+7x-198=5y+x+27

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Solution for 2y+7x-198=5y+x+27 equation: 


Simplifying
2y + 7x + -198 = 5y + x + 27

Reorder the terms:
-198 + 7x + 2y = 5y + x + 27

Reorder the terms:
-198 + 7x + 2y = 27 + x + 5y

Solving
-198 + 7x + 2y = 27 + x + 5y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-198 + 7x + -1x + 2y = 27 + x + -1x + 5y

Combine like terms: 7x + -1x = 6x
-198 + 6x + 2y = 27 + x + -1x + 5y

Combine like terms: x + -1x = 0
-198 + 6x + 2y = 27 + 0 + 5y
-198 + 6x + 2y = 27 + 5y

Add '198' to each side of the equation.
-198 + 6x + 198 + 2y = 27 + 198 + 5y

Reorder the terms:
-198 + 198 + 6x + 2y = 27 + 198 + 5y

Combine like terms: -198 + 198 = 0
0 + 6x + 2y = 27 + 198 + 5y
6x + 2y = 27 + 198 + 5y

Combine like terms: 27 + 198 = 225
6x + 2y = 225 + 5y

Add '-2y' to each side of the equation.
6x + 2y + -2y = 225 + 5y + -2y

Combine like terms: 2y + -2y = 0
6x + 0 = 225 + 5y + -2y
6x = 225 + 5y + -2y

Combine like terms: 5y + -2y = 3y
6x = 225 + 3y

Divide each side by '6'.
x = 37.5 + 0.5y

Simplifying
x = 37.5 + 0.5y

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