0.05(x+30)-0.03(x-20)=1.9

Solution for 0.05(x+30)-0.03(x-20)=1.9 equation:

Simplifying
0.05(x + 30) + -0.03(x + -20) = 1.9

Reorder the terms:
0.05(30 + x) + -0.03(x + -20) = 1.9
(30 * 0.05 + x * 0.05) + -0.03(x + -20) = 1.9
(1.5 + 0.05x) + -0.03(x + -20) = 1.9

Reorder the terms:
1.5 + 0.05x + -0.03(-20 + x) = 1.9
1.5 + 0.05x + (-20 * -0.03 + x * -0.03) = 1.9
1.5 + 0.05x + (0.6 + -0.03x) = 1.9

Reorder the terms:
1.5 + 0.6 + 0.05x + -0.03x = 1.9

Combine like terms: 1.5 + 0.6 = 2.1
2.1 + 0.05x + -0.03x = 1.9

Combine like terms: 0.05x + -0.03x = 0.02x
2.1 + 0.02x = 1.9

Solving
2.1 + 0.02x = 1.9

Solving for variable 'x'.

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

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 0.02x = 1.9 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 0.02x = 1.9 + -2.1
0.02x = 1.9 + -2.1

Combine like terms: 1.9 + -2.1 = -0.2
0.02x = -0.2

Divide each side by '0.02'.
x = -10

Simplifying
x = -10