2(x+1)+(y+2)=13-3y

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Solution for 2(x+1)+(y+2)=13-3y equation:


Simplifying
2(x + 1) + (y + 2) = 13 + -3y

Reorder the terms:
2(1 + x) + (y + 2) = 13 + -3y
(1 * 2 + x * 2) + (y + 2) = 13 + -3y
(2 + 2x) + (y + 2) = 13 + -3y

Reorder the terms:
2 + 2x + (2 + y) = 13 + -3y

Remove parenthesis around (2 + y)
2 + 2x + 2 + y = 13 + -3y

Reorder the terms:
2 + 2 + 2x + y = 13 + -3y

Combine like terms: 2 + 2 = 4
4 + 2x + y = 13 + -3y

Solving
4 + 2x + y = 13 + -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 + y = 13 + -4 + -3y

Reorder the terms:
4 + -4 + 2x + y = 13 + -4 + -3y

Combine like terms: 4 + -4 = 0
0 + 2x + y = 13 + -4 + -3y
2x + y = 13 + -4 + -3y

Combine like terms: 13 + -4 = 9
2x + y = 9 + -3y

Add '-1y' to each side of the equation.
2x + y + -1y = 9 + -3y + -1y

Combine like terms: y + -1y = 0
2x + 0 = 9 + -3y + -1y
2x = 9 + -3y + -1y

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

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

Simplifying
x = 4.5 + -2y

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