0.4x-6=1.2x

Solution for 0.4x-6=1.2x equation:

Simplifying
0.4x + -6 = 1.2x

Reorder the terms:
-6 + 0.4x = 1.2x

Solving
-6 + 0.4x = 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-6 + 0.4x + -1.2x = 1.2x + -1.2x

Combine like terms: 0.4x + -1.2x = -0.8x
-6 + -0.8x = 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-6 + -0.8x = 0.0

Add '6' to each side of the equation.
-6 + 6 + -0.8x = 0.0 + 6

Combine like terms: -6 + 6 = 0
0 + -0.8x = 0.0 + 6
-0.8x = 0.0 + 6

Combine like terms: 0.0 + 6 = 6
-0.8x = 6

Divide each side by '-0.8'.
x = -7.5

Simplifying
x = -7.5