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

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

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

Combine like terms: x + -2x = -1x
4(-1x) = -20(x + 2y)

Remove parenthesis around (-1x)
4 * -1x = -20(x + 2y)

Multiply 4 * -1
-4x = -20(x + 2y)
-4x = (x * -20 + 2y * -20)
-4x = (-20x + -40y)

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

Combine like terms: -4x + 20x = 16x
16x = -20x + 20x + -40y

Combine like terms: -20x + 20x = 0
16x = 0 + -40y
16x = -40y

Divide each side by '16'.
x = -2.5y

Simplifying
x = -2.5y