y+(x+y+5)=2x

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


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

Reorder the terms:
y + (5 + x + y) = 2x

Remove parenthesis around (5 + x + y)
y + 5 + x + y = 2x

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

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

Solving
5 + x + 2y = 2x

Solving for variable 'x'.

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

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

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

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

Add '-5' to each side of the equation.
5 + -1x + -5 + 2y = 0 + -5

Reorder the terms:
5 + -5 + -1x + 2y = 0 + -5

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

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

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

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

Divide each side by '-1'.
x = 5 + 2y

Simplifying
x = 5 + 2y

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