2(x-3)+2=2(5-y)

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


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

Reorder the terms:
2(-3 + x) + 2 = 2(5 + -1y)
(-3 * 2 + x * 2) + 2 = 2(5 + -1y)
(-6 + 2x) + 2 = 2(5 + -1y)

Reorder the terms:
-6 + 2 + 2x = 2(5 + -1y)

Combine like terms: -6 + 2 = -4
-4 + 2x = 2(5 + -1y)
-4 + 2x = (5 * 2 + -1y * 2)
-4 + 2x = (10 + -2y)

Solving
-4 + 2x = 10 + -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 = 10 + 4 + -2y

Combine like terms: -4 + 4 = 0
0 + 2x = 10 + 4 + -2y
2x = 10 + 4 + -2y

Combine like terms: 10 + 4 = 14
2x = 14 + -2y

Divide each side by '2'.
x = 7 + -1y

Simplifying
x = 7 + -1y

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