2(x+2)-(y+3)=-9

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Solution for 2(x+2)-(y+3)=-9 equation: 


Simplifying
2(x + 2) + -1(y + 3) = -9

Reorder the terms:
2(2 + x) + -1(y + 3) = -9
(2 * 2 + x * 2) + -1(y + 3) = -9
(4 + 2x) + -1(y + 3) = -9

Reorder the terms:
4 + 2x + -1(3 + y) = -9
4 + 2x + (3 * -1 + y * -1) = -9
4 + 2x + (-3 + -1y) = -9

Reorder the terms:
4 + -3 + 2x + -1y = -9

Combine like terms: 4 + -3 = 1
1 + 2x + -1y = -9

Solving
1 + 2x + -1y = -9

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + 2x + -1 + -1y = -9 + -1

Reorder the terms:
1 + -1 + 2x + -1y = -9 + -1

Combine like terms: 1 + -1 = 0
0 + 2x + -1y = -9 + -1
2x + -1y = -9 + -1

Combine like terms: -9 + -1 = -10
2x + -1y = -10

Add 'y' to each side of the equation.
2x + -1y + y = -10 + y

Combine like terms: -1y + y = 0
2x + 0 = -10 + y
2x = -10 + y

Divide each side by '2'.
x = -5 + 0.5y

Simplifying
x = -5 + 0.5y

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