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

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


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

Reorder the terms:
2x + 2y = 3(-2 + x)
2x + 2y = (-2 * 3 + x * 3)
2x + 2y = (-6 + 3x)

Solving
2x + 2y = -6 + 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 = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-1x + 2y = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1x + 2y = -6 + 0
-1x + 2y = -6

Add '-2y' to each side of the equation.
-1x + 2y + -2y = -6 + -2y

Combine like terms: 2y + -2y = 0
-1x + 0 = -6 + -2y
-1x = -6 + -2y

Divide each side by '-1'.
x = 6 + 2y

Simplifying
x = 6 + 2y

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