(x+y)=3(x+y)-2

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Solution for (x+y)=3(x+y)-2 equation:


Simplifying
(x + y) = 3(x + y) + -2

Remove parenthesis around (x + y)
x + y = 3(x + y) + -2
x + y = (x * 3 + y * 3) + -2
x + y = (3x + 3y) + -2

Reorder the terms:
x + y = -2 + 3x + 3y

Solving
x + y = -2 + 3x + 3y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
x + -3x + y = -2 + 3x + -3x + 3y

Combine like terms: x + -3x = -2x
-2x + y = -2 + 3x + -3x + 3y

Combine like terms: 3x + -3x = 0
-2x + y = -2 + 0 + 3y
-2x + y = -2 + 3y

Add '-1y' to each side of the equation.
-2x + y + -1y = -2 + 3y + -1y

Combine like terms: y + -1y = 0
-2x + 0 = -2 + 3y + -1y
-2x = -2 + 3y + -1y

Combine like terms: 3y + -1y = 2y
-2x = -2 + 2y

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

Simplifying
x = 1 + -1y

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