3(x-2y)-0.5(2x+3y)-4.5x=

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Solution for 3(x-2y)-0.5(2x+3y)-4.5x= equation: 


Simplifying
3(x + -2y) + -0.5(2x + 3y) + -4.5x = 0
(x * 3 + -2y * 3) + -0.5(2x + 3y) + -4.5x = 0
(3x + -6y) + -0.5(2x + 3y) + -4.5x = 0
3x + -6y + (2x * -0.5 + 3y * -0.5) + -4.5x = 0
3x + -6y + (-1x + -1.5y) + -4.5x = 0

Reorder the terms:
3x + -1x + -4.5x + -6y + -1.5y = 0

Combine like terms: 3x + -1x = 2x
2x + -4.5x + -6y + -1.5y = 0

Combine like terms: 2x + -4.5x = -2.5x
-2.5x + -6y + -1.5y = 0

Combine like terms: -6y + -1.5y = -7.5y
-2.5x + -7.5y = 0

Solving
-2.5x + -7.5y = 0

Solving for variable 'x'.

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

Add '7.5y' to each side of the equation.
-2.5x + -7.5y + 7.5y = 0 + 7.5y

Combine like terms: -7.5y + 7.5y = 0.0
-2.5x + 0.0 = 0 + 7.5y
-2.5x = 0 + 7.5y
Remove the zero:
-2.5x = 7.5y

Divide each side by '-2.5'.
x = -3y

Simplifying
x = -3y

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