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

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


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

Reorder the terms:
8x + -2x + 4y + 6y = 0

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

Combine like terms: 4y + 6y = 10y
6x + 10y = 0

Solving
6x + 10y = 0

Solving for variable 'x'.

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

Add '-10y' to each side of the equation.
6x + 10y + -10y = 0 + -10y

Combine like terms: 10y + -10y = 0
6x + 0 = 0 + -10y
6x = 0 + -10y
Remove the zero:
6x = -10y

Divide each side by '6'.
x = -1.666666667y

Simplifying
x = -1.666666667y

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