x+y+7=3x-2y+9

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Solution for x+y+7=3x-2y+9 equation:


Simplifying
x + y + 7 = 3x + -2y + 9

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

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

Solving
7 + x + y = 9 + 3x + -2y

Solving for variable 'x'.

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

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

Combine like terms: x + -3x = -2x
7 + -2x + y = 9 + 3x + -3x + -2y

Combine like terms: 3x + -3x = 0
7 + -2x + y = 9 + 0 + -2y
7 + -2x + y = 9 + -2y

Add '-7' to each side of the equation.
7 + -2x + -7 + y = 9 + -7 + -2y

Reorder the terms:
7 + -7 + -2x + y = 9 + -7 + -2y

Combine like terms: 7 + -7 = 0
0 + -2x + y = 9 + -7 + -2y
-2x + y = 9 + -7 + -2y

Combine like terms: 9 + -7 = 2
-2x + y = 2 + -2y

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

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

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

Divide each side by '-2'.
x = -1 + 1.5y

Simplifying
x = -1 + 1.5y

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