0.2(0.1x+2)-0.6=5.2

Solution for 0.2(0.1x+2)-0.6=5.2 equation:

Simplifying
0.2(0.1x + 2) + -0.6 = 5.2

Reorder the terms:
0.2(2 + 0.1x) + -0.6 = 5.2
(2 * 0.2 + 0.1x * 0.2) + -0.6 = 5.2
(0.4 + 0.02x) + -0.6 = 5.2

Reorder the terms:
0.4 + -0.6 + 0.02x = 5.2

Combine like terms: 0.4 + -0.6 = -0.2
-0.2 + 0.02x = 5.2

Solving
-0.2 + 0.02x = 5.2

Solving for variable 'x'.

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

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.02x = 5.2 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.02x = 5.2 + 0.2
0.02x = 5.2 + 0.2

Combine like terms: 5.2 + 0.2 = 5.4
0.02x = 5.4

Divide each side by '0.02'.
x = 270

Simplifying
x = 270