0.1x-0.1(6-x)=0.5

Solution for 0.1x-0.1(6-x)=0.5 equation:

Simplifying
0.1x + -0.1(6 + -1x) = 0.5
0.1x + (6 * -0.1 + -1x * -0.1) = 0.5
0.1x + (-0.6 + 0.1x) = 0.5

Reorder the terms:
-0.6 + 0.1x + 0.1x = 0.5

Combine like terms: 0.1x + 0.1x = 0.2x
-0.6 + 0.2x = 0.5

Solving
-0.6 + 0.2x = 0.5

Solving for variable 'x'.

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

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.2x = 0.5 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.2x = 0.5 + 0.6
0.2x = 0.5 + 0.6

Combine like terms: 0.5 + 0.6 = 1.1
0.2x = 1.1

Divide each side by '0.2'.
x = 5.5

Simplifying
x = 5.5