2(x+4)=x-5y

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Solution for 2(x+4)=x-5y equation: 


Simplifying
2(x + 4) = x + -5y

Reorder the terms:
2(4 + x) = x + -5y
(4 * 2 + x * 2) = x + -5y
(8 + 2x) = x + -5y

Solving
8 + 2x = 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.
8 + 2x + -1x = x + -1x + -5y

Combine like terms: 2x + -1x = 1x
8 + 1x = x + -1x + -5y

Combine like terms: x + -1x = 0
8 + 1x = 0 + -5y
8 + 1x = -5y

Add '-8' to each side of the equation.
8 + -8 + 1x = -8 + -5y

Combine like terms: 8 + -8 = 0
0 + 1x = -8 + -5y
1x = -8 + -5y

Divide each side by '1'.
x = -8 + -5y

Simplifying
x = -8 + -5y

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