0.1(x+30)-0.08(x-20)=3.8

Solution for 0.1(x+30)-0.08(x-20)=3.8 equation:

Simplifying
0.1(x + 30) + -0.08(x + -20) = 3.8

Reorder the terms:
0.1(30 + x) + -0.08(x + -20) = 3.8
(30 * 0.1 + x * 0.1) + -0.08(x + -20) = 3.8
(3 + 0.1x) + -0.08(x + -20) = 3.8

Reorder the terms:
3 + 0.1x + -0.08(-20 + x) = 3.8
3 + 0.1x + (-20 * -0.08 + x * -0.08) = 3.8
3 + 0.1x + (1.6 + -0.08x) = 3.8

Reorder the terms:
3 + 1.6 + 0.1x + -0.08x = 3.8

Combine like terms: 3 + 1.6 = 4.6
4.6 + 0.1x + -0.08x = 3.8

Combine like terms: 0.1x + -0.08x = 0.02x
4.6 + 0.02x = 3.8

Solving
4.6 + 0.02x = 3.8

Solving for variable 'x'.

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

Add '-4.6' to each side of the equation.
4.6 + -4.6 + 0.02x = 3.8 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + 0.02x = 3.8 + -4.6
0.02x = 3.8 + -4.6

Combine like terms: 3.8 + -4.6 = -0.8
0.02x = -0.8

Divide each side by '0.02'.
x = -40

Simplifying
x = -40