0.1x-0.7(6-x)=-0.6

Solution for 0.1x-0.7(6-x)=-0.6 equation:

Simplifying
0.1x + -0.7(6 + -1x) = -0.6
0.1x + (6 * -0.7 + -1x * -0.7) = -0.6
0.1x + (-4.2 + 0.7x) = -0.6

Reorder the terms:
-4.2 + 0.1x + 0.7x = -0.6

Combine like terms: 0.1x + 0.7x = 0.8x
-4.2 + 0.8x = -0.6

Solving
-4.2 + 0.8x = -0.6

Solving for variable 'x'.

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

Add '4.2' to each side of the equation.
-4.2 + 4.2 + 0.8x = -0.6 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + 0.8x = -0.6 + 4.2
0.8x = -0.6 + 4.2

Combine like terms: -0.6 + 4.2 = 3.6
0.8x = 3.6

Divide each side by '0.8'.
x = 4.5

Simplifying
x = 4.5