.33x+6=.75(x+8)

Solution for .33x+6=.75(x+8) equation:

Simplifying
0.33x + 6 = 0.75(x + 8)

Reorder the terms:
6 + 0.33x = 0.75(x + 8)

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

Add '-6' to each side of the equation.
6 + -6 + 0.33x = 6 + -6 + 0.75x

Combine like terms: 6 + -6 = 0
0 + 0.33x = 6 + -6 + 0.75x
0.33x = 6 + -6 + 0.75x

Combine like terms: 6 + -6 = 0
0.33x = 0 + 0.75x
0.33x = 0.75x

Solving
0.33x = 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
0.33x + -0.75x = 0.75x + -0.75x

Combine like terms: 0.33x + -0.75x = -0.42x
-0.42x = 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-0.42x = 0.00

Divide each side by '-0.42'.
x = 0

Simplifying
x = 0