0.25(x+30)-0.03(x-20)=5.9

Solution for 0.25(x+30)-0.03(x-20)=5.9 equation:

Simplifying
0.25(x + 30) + -0.03(x + -20) = 5.9

Reorder the terms:
0.25(30 + x) + -0.03(x + -20) = 5.9
(30 * 0.25 + x * 0.25) + -0.03(x + -20) = 5.9
(7.5 + 0.25x) + -0.03(x + -20) = 5.9

Reorder the terms:
7.5 + 0.25x + -0.03(-20 + x) = 5.9
7.5 + 0.25x + (-20 * -0.03 + x * -0.03) = 5.9
7.5 + 0.25x + (0.6 + -0.03x) = 5.9

Reorder the terms:
7.5 + 0.6 + 0.25x + -0.03x = 5.9

Combine like terms: 7.5 + 0.6 = 8.1
8.1 + 0.25x + -0.03x = 5.9

Combine like terms: 0.25x + -0.03x = 0.22x
8.1 + 0.22x = 5.9

Solving
8.1 + 0.22x = 5.9

Solving for variable 'x'.

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

Add '-8.1' to each side of the equation.
8.1 + -8.1 + 0.22x = 5.9 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0
0.0 + 0.22x = 5.9 + -8.1
0.22x = 5.9 + -8.1

Combine like terms: 5.9 + -8.1 = -2.2
0.22x = -2.2

Divide each side by '0.22'.
x = -10

Simplifying
x = -10