.33(2x-4)=-.50(x-8)

Solution for .33(2x-4)=-.50(x-8) equation:

Simplifying
0.33(2x + -4) = -0.50(x + -8)

Reorder the terms:
0.33(-4 + 2x) = -0.50(x + -8)
(-4 * 0.33 + 2x * 0.33) = -0.50(x + -8)
(-1.32 + 0.66x) = -0.50(x + -8)

Reorder the terms:
-1.32 + 0.66x = -0.50(-8 + x)
-1.32 + 0.66x = (-8 * -0.50 + x * -0.50)
-1.32 + 0.66x = (4 + -0.50x)

Solving
-1.32 + 0.66x = 4 + -0.50x

Solving for variable 'x'.

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

Add '0.50x' to each side of the equation.
-1.32 + 0.66x + 0.50x = 4 + -0.50x + 0.50x

Combine like terms: 0.66x + 0.50x = 1.16x
-1.32 + 1.16x = 4 + -0.50x + 0.50x

Combine like terms: -0.50x + 0.50x = 0.00
-1.32 + 1.16x = 4 + 0.00
-1.32 + 1.16x = 4

Add '1.32' to each side of the equation.
-1.32 + 1.32 + 1.16x = 4 + 1.32

Combine like terms: -1.32 + 1.32 = 0.00
0.00 + 1.16x = 4 + 1.32
1.16x = 4 + 1.32

Combine like terms: 4 + 1.32 = 5.32
1.16x = 5.32

Divide each side by '1.16'.
x = 4.586206897

Simplifying
x = 4.586206897