.2(.1x+.9)=-.2

Solution for .2(.1x+.9)=-.2 equation:

Simplifying
0.2(0.1x + 0.9) = -0.2

Reorder the terms:
0.2(0.9 + 0.1x) = -0.2
(0.9 * 0.2 + 0.1x * 0.2) = -0.2
(0.18 + 0.02x) = -0.2

Solving
0.18 + 0.02x = -0.2

Solving for variable 'x'.

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

Add '-0.18' to each side of the equation.
0.18 + -0.18 + 0.02x = -0.2 + -0.18

Combine like terms: 0.18 + -0.18 = 0.00
0.00 + 0.02x = -0.2 + -0.18
0.02x = -0.2 + -0.18

Combine like terms: -0.2 + -0.18 = -0.38
0.02x = -0.38

Divide each side by '0.02'.
x = -19

Simplifying
x = -19