3(2x-y)-4(x-2y)=0

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Solution for 3(2x-y)-4(x-2y)=0 equation: 


Simplifying
3(2x + -1y) + -4(x + -2y) = 0
(2x * 3 + -1y * 3) + -4(x + -2y) = 0
(6x + -3y) + -4(x + -2y) = 0
6x + -3y + (x * -4 + -2y * -4) = 0
6x + -3y + (-4x + 8y) = 0

Reorder the terms:
6x + -4x + -3y + 8y = 0

Combine like terms: 6x + -4x = 2x
2x + -3y + 8y = 0

Combine like terms: -3y + 8y = 5y
2x + 5y = 0

Solving
2x + 5y = 0

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
2x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
2x + 0 = 0 + -5y
2x = 0 + -5y
Remove the zero:
2x = -5y

Divide each side by '2'.
x = -2.5y

Simplifying
x = -2.5y

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