2(x-y)=3x+5

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Solution for 2(x-y)=3x+5 equation:


Simplifying
2(x + -1y) = 3x + 5
(x * 2 + -1y * 2) = 3x + 5
(2x + -2y) = 3x + 5

Reorder the terms:
2x + -2y = 5 + 3x

Solving
2x + -2y = 5 + 3x

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.
2x + -3x + -2y = 5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-1x + -2y = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1x + -2y = 5 + 0
-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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