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

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


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

Reorder the terms:
2(2 + x) + -2y = -3y + -5
(2 * 2 + x * 2) + -2y = -3y + -5
(4 + 2x) + -2y = -3y + -5

Reorder the terms:
4 + 2x + -2y = -5 + -3y

Solving
4 + 2x + -2y = -5 + -3y

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 + 2x + -4 + -2y = -5 + -4 + -3y

Reorder the terms:
4 + -4 + 2x + -2y = -5 + -4 + -3y

Combine like terms: 4 + -4 = 0
0 + 2x + -2y = -5 + -4 + -3y
2x + -2y = -5 + -4 + -3y

Combine like terms: -5 + -4 = -9
2x + -2y = -9 + -3y

Add '2y' to each side of the equation.
2x + -2y + 2y = -9 + -3y + 2y

Combine like terms: -2y + 2y = 0
2x + 0 = -9 + -3y + 2y
2x = -9 + -3y + 2y

Combine like terms: -3y + 2y = -1y
2x = -9 + -1y

Divide each side by '2'.
x = -4.5 + -0.5y

Simplifying
x = -4.5 + -0.5y

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