2x+y+3=x+2y-6

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Solution for 2x+y+3=x+2y-6 equation:


Simplifying
2x + y + 3 = x + 2y + -6

Reorder the terms:
3 + 2x + y = x + 2y + -6

Reorder the terms:
3 + 2x + y = -6 + x + 2y

Solving
3 + 2x + y = -6 + x + 2y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 2x + -1x + y = -6 + x + -1x + 2y

Combine like terms: 2x + -1x = 1x
3 + 1x + y = -6 + x + -1x + 2y

Combine like terms: x + -1x = 0
3 + 1x + y = -6 + 0 + 2y
3 + 1x + y = -6 + 2y

Add '-3' to each side of the equation.
3 + 1x + -3 + y = -6 + -3 + 2y

Reorder the terms:
3 + -3 + 1x + y = -6 + -3 + 2y

Combine like terms: 3 + -3 = 0
0 + 1x + y = -6 + -3 + 2y
1x + y = -6 + -3 + 2y

Combine like terms: -6 + -3 = -9
1x + y = -9 + 2y

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

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

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

Divide each side by '1'.
x = -9 + 1y

Simplifying
x = -9 + 1y

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