.4x+6=.5x

Solution for .4x+6=.5x equation:

Simplifying
0.4x + 6 = 0.5x

Reorder the terms:
6 + 0.4x = 0.5x

Solving
6 + 0.4x = 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
6 + 0.4x + -0.5x = 0.5x + -0.5x

Combine like terms: 0.4x + -0.5x = -0.1x
6 + -0.1x = 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
6 + -0.1x = 0.0

Add '-6' to each side of the equation.
6 + -6 + -0.1x = 0.0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.1x = 0.0 + -6
-0.1x = 0.0 + -6

Combine like terms: 0.0 + -6 = -6
-0.1x = -6

Divide each side by '-0.1'.
x = 60

Simplifying
x = 60