0.1(x+30)-0.03(x-50)=3.8

Solution for 0.1(x+30)-0.03(x-50)=3.8 equation:

Simplifying
0.1(x + 30) + -0.03(x + -50) = 3.8

Reorder the terms:
0.1(30 + x) + -0.03(x + -50) = 3.8
(30 * 0.1 + x * 0.1) + -0.03(x + -50) = 3.8
(3 + 0.1x) + -0.03(x + -50) = 3.8

Reorder the terms:
3 + 0.1x + -0.03(-50 + x) = 3.8
3 + 0.1x + (-50 * -0.03 + x * -0.03) = 3.8
3 + 0.1x + (1.5 + -0.03x) = 3.8

Reorder the terms:
3 + 1.5 + 0.1x + -0.03x = 3.8

Combine like terms: 3 + 1.5 = 4.5
4.5 + 0.1x + -0.03x = 3.8

Combine like terms: 0.1x + -0.03x = 0.07x
4.5 + 0.07x = 3.8

Solving
4.5 + 0.07x = 3.8

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.07x = 3.8 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.07x = 3.8 + -4.5
0.07x = 3.8 + -4.5

Combine like terms: 3.8 + -4.5 = -0.7
0.07x = -0.7

Divide each side by '0.07'.
x = -10

Simplifying
x = -10