.2(2x-6)=3

Solution for .2(2x-6)=3 equation:

Simplifying
0.2(2x + -6) = 3

Reorder the terms:
0.2(-6 + 2x) = 3
(-6 * 0.2 + 2x * 0.2) = 3
(-1.2 + 0.4x) = 3

Solving
-1.2 + 0.4x = 3

Solving for variable 'x'.

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

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.4x = 3 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.4x = 3 + 1.2
0.4x = 3 + 1.2

Combine like terms: 3 + 1.2 = 4.2
0.4x = 4.2

Divide each side by '0.4'.
x = 10.5

Simplifying
x = 10.5