0.1(x+20)-0.02(x-30)=0.2

Solution for 0.1(x+20)-0.02(x-30)=0.2 equation:

Simplifying
0.1(x + 20) + -0.02(x + -30) = 0.2

Reorder the terms:
0.1(20 + x) + -0.02(x + -30) = 0.2
(20 * 0.1 + x * 0.1) + -0.02(x + -30) = 0.2
(2 + 0.1x) + -0.02(x + -30) = 0.2

Reorder the terms:
2 + 0.1x + -0.02(-30 + x) = 0.2
2 + 0.1x + (-30 * -0.02 + x * -0.02) = 0.2
2 + 0.1x + (0.6 + -0.02x) = 0.2

Reorder the terms:
2 + 0.6 + 0.1x + -0.02x = 0.2

Combine like terms: 2 + 0.6 = 2.6
2.6 + 0.1x + -0.02x = 0.2

Combine like terms: 0.1x + -0.02x = 0.08x
2.6 + 0.08x = 0.2

Solving
2.6 + 0.08x = 0.2

Solving for variable 'x'.

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

Add '-2.6' to each side of the equation.
2.6 + -2.6 + 0.08x = 0.2 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + 0.08x = 0.2 + -2.6
0.08x = 0.2 + -2.6

Combine like terms: 0.2 + -2.6 = -2.4
0.08x = -2.4

Divide each side by '0.08'.
x = -30

Simplifying
x = -30