0.1x+6-0.02x-0.2=10.2

Solution for 0.1x+6-0.02x-0.2=10.2 equation:

Simplifying
0.1x + 6 + -0.02x + -0.2 = 10.2

Reorder the terms:
6 + -0.2 + 0.1x + -0.02x = 10.2

Combine like terms: 6 + -0.2 = 5.8
5.8 + 0.1x + -0.02x = 10.2

Combine like terms: 0.1x + -0.02x = 0.08x
5.8 + 0.08x = 10.2

Solving
5.8 + 0.08x = 10.2

Solving for variable 'x'.

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

Add '-5.8' to each side of the equation.
5.8 + -5.8 + 0.08x = 10.2 + -5.8

Combine like terms: 5.8 + -5.8 = 0.0
0.0 + 0.08x = 10.2 + -5.8
0.08x = 10.2 + -5.8

Combine like terms: 10.2 + -5.8 = 4.4
0.08x = 4.4

Divide each side by '0.08'.
x = 55

Simplifying
x = 55