.75(x-8)=.33(2x+4)

Solution for .75(x-8)=.33(2x+4) equation:

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

Reorder the terms:
0.75(-8 + x) = 0.33(2x + 4)
(-8 * 0.75 + x * 0.75) = 0.33(2x + 4)
(-6 + 0.75x) = 0.33(2x + 4)

Reorder the terms:
-6 + 0.75x = 0.33(4 + 2x)
-6 + 0.75x = (4 * 0.33 + 2x * 0.33)
-6 + 0.75x = (1.32 + 0.66x)

Solving
-6 + 0.75x = 1.32 + 0.66x

Solving for variable 'x'.

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

Add '-0.66x' to each side of the equation.
-6 + 0.75x + -0.66x = 1.32 + 0.66x + -0.66x

Combine like terms: 0.75x + -0.66x = 0.09x
-6 + 0.09x = 1.32 + 0.66x + -0.66x

Combine like terms: 0.66x + -0.66x = 0.00
-6 + 0.09x = 1.32 + 0.00
-6 + 0.09x = 1.32

Add '6' to each side of the equation.
-6 + 6 + 0.09x = 1.32 + 6

Combine like terms: -6 + 6 = 0
0 + 0.09x = 1.32 + 6
0.09x = 1.32 + 6

Combine like terms: 1.32 + 6 = 7.32
0.09x = 7.32

Divide each side by '0.09'.
x = 81.33333333

Simplifying
x = 81.33333333