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

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


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

Reorder the terms:
2(-2 + x) = 2(y + 3)
(-2 * 2 + x * 2) = 2(y + 3)
(-4 + 2x) = 2(y + 3)

Reorder the terms:
-4 + 2x = 2(3 + y)
-4 + 2x = (3 * 2 + y * 2)
-4 + 2x = (6 + 2y)

Solving
-4 + 2x = 6 + 2y

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 2x = 6 + 4 + 2y

Combine like terms: -4 + 4 = 0
0 + 2x = 6 + 4 + 2y
2x = 6 + 4 + 2y

Combine like terms: 6 + 4 = 10
2x = 10 + 2y

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

Simplifying
x = 5 + y

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