4(x-2y)=-20(x+2y)

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Solution for 4(x-2y)=-20(x+2y) equation:


Simplifying
4(x + -2y) = -20(x + 2y)
(x * 4 + -2y * 4) = -20(x + 2y)
(4x + -8y) = -20(x + 2y)
4x + -8y = (x * -20 + 2y * -20)
4x + -8y = (-20x + -40y)

Solving
4x + -8y = -20x + -40y

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
4x + 20x + -8y = -20x + 20x + -40y

Combine like terms: 4x + 20x = 24x
24x + -8y = -20x + 20x + -40y

Combine like terms: -20x + 20x = 0
24x + -8y = 0 + -40y
24x + -8y = -40y

Add '8y' to each side of the equation.
24x + -8y + 8y = -40y + 8y

Combine like terms: -8y + 8y = 0
24x + 0 = -40y + 8y
24x = -40y + 8y

Combine like terms: -40y + 8y = -32y
24x = -32y

Divide each side by '24'.
x = -1.333333333y

Simplifying
x = -1.333333333y

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