.67x+6=.50x+.25x

Solution for .67x+6=.50x+.25x equation:

Simplifying
0.67x + 6 = 0.50x + 0.25x

Reorder the terms:
6 + 0.67x = 0.50x + 0.25x

Combine like terms: 0.50x + 0.25x = 0.75x
6 + 0.67x = 0.75x

Solving
6 + 0.67x = 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.
6 + 0.67x + -0.75x = 0.75x + -0.75x

Combine like terms: 0.67x + -0.75x = -0.08x
6 + -0.08x = 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
6 + -0.08x = 0.00

Add '-6' to each side of the equation.
6 + -6 + -0.08x = 0.00 + -6

Combine like terms: 6 + -6 = 0
0 + -0.08x = 0.00 + -6
-0.08x = 0.00 + -6

Combine like terms: 0.00 + -6 = -6
-0.08x = -6

Divide each side by '-0.08'.
x = 75

Simplifying
x = 75