0.25(x+40)-0.03(x-20)=8.4

Solution for 0.25(x+40)-0.03(x-20)=8.4 equation:

Simplifying
0.25(x + 40) + -0.03(x + -20) = 8.4

Reorder the terms:
0.25(40 + x) + -0.03(x + -20) = 8.4
(40 * 0.25 + x * 0.25) + -0.03(x + -20) = 8.4
(10 + 0.25x) + -0.03(x + -20) = 8.4

Reorder the terms:
10 + 0.25x + -0.03(-20 + x) = 8.4
10 + 0.25x + (-20 * -0.03 + x * -0.03) = 8.4
10 + 0.25x + (0.6 + -0.03x) = 8.4

Reorder the terms:
10 + 0.6 + 0.25x + -0.03x = 8.4

Combine like terms: 10 + 0.6 = 10.6
10.6 + 0.25x + -0.03x = 8.4

Combine like terms: 0.25x + -0.03x = 0.22x
10.6 + 0.22x = 8.4

Solving
10.6 + 0.22x = 8.4

Solving for variable 'x'.

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

Add '-10.6' to each side of the equation.
10.6 + -10.6 + 0.22x = 8.4 + -10.6

Combine like terms: 10.6 + -10.6 = 0.0
0.0 + 0.22x = 8.4 + -10.6
0.22x = 8.4 + -10.6

Combine like terms: 8.4 + -10.6 = -2.2
0.22x = -2.2

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

Simplifying
x = -10