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

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Solution for 3(x-1)+2x=3x+y+(-9) equation: 


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

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

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

Reorder the terms:
-3 + 5x = -9 + 3x + y

Solving
-3 + 5x = -9 + 3x + y

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.
-3 + 5x + -3x = -9 + 3x + -3x + y

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

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

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

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

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

Divide each side by '2'.
x = -3 + 0.5y

Simplifying
x = -3 + 0.5y

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