2(x+y)=7y-5

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Solution for 2(x+y)=7y-5 equation: 


Simplifying
2(x + y) = 7y + -5
(x * 2 + y * 2) = 7y + -5
(2x + 2y) = 7y + -5

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

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

Solving for variable 'x'.

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

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

Combine like terms: 2y + -2y = 0
2x + 0 = -5 + 7y + -2y
2x = -5 + 7y + -2y

Combine like terms: 7y + -2y = 5y
2x = -5 + 5y

Divide each side by '2'.
x = -2.5 + 2.5y

Simplifying
x = -2.5 + 2.5y

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