0.2(0.1x+0.5)=-0.2

Solution for 0.2(0.1x+0.5)=-0.2 equation:

Simplifying
0.2(0.1x + 0.5) = -0.2

Reorder the terms:
0.2(0.5 + 0.1x) = -0.2
(0.5 * 0.2 + 0.1x * 0.2) = -0.2
(0.1 + 0.02x) = -0.2

Solving
0.1 + 0.02x = -0.2

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.02x = -0.2 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.02x = -0.2 + -0.1
0.02x = -0.2 + -0.1

Combine like terms: -0.2 + -0.1 = -0.3
0.02x = -0.3

Divide each side by '0.02'.
x = -15

Simplifying
x = -15