.6(3x-6)=10

Solution for .6(3x-6)=10 equation:

Simplifying
0.6(3x + -6) = 10

Reorder the terms:
0.6(-6 + 3x) = 10
(-6 * 0.6 + 3x * 0.6) = 10
(-3.6 + 1.8x) = 10

Solving
-3.6 + 1.8x = 10

Solving for variable 'x'.

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

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 1.8x = 10 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 1.8x = 10 + 3.6
1.8x = 10 + 3.6

Combine like terms: 10 + 3.6 = 13.6
1.8x = 13.6

Divide each side by '1.8'.
x = 7.555555556

Simplifying
x = 7.555555556