0.25(x+10)-0.04(x-20)=13.8

Solution for 0.25(x+10)-0.04(x-20)=13.8 equation:

Simplifying
0.25(x + 10) + -0.04(x + -20) = 13.8

Reorder the terms:
0.25(10 + x) + -0.04(x + -20) = 13.8
(10 * 0.25 + x * 0.25) + -0.04(x + -20) = 13.8
(2.5 + 0.25x) + -0.04(x + -20) = 13.8

Reorder the terms:
2.5 + 0.25x + -0.04(-20 + x) = 13.8
2.5 + 0.25x + (-20 * -0.04 + x * -0.04) = 13.8
2.5 + 0.25x + (0.8 + -0.04x) = 13.8

Reorder the terms:
2.5 + 0.8 + 0.25x + -0.04x = 13.8

Combine like terms: 2.5 + 0.8 = 3.3
3.3 + 0.25x + -0.04x = 13.8

Combine like terms: 0.25x + -0.04x = 0.21x
3.3 + 0.21x = 13.8

Solving
3.3 + 0.21x = 13.8

Solving for variable 'x'.

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

Add '-3.3' to each side of the equation.
3.3 + -3.3 + 0.21x = 13.8 + -3.3

Combine like terms: 3.3 + -3.3 = 0.0
0.0 + 0.21x = 13.8 + -3.3
0.21x = 13.8 + -3.3

Combine like terms: 13.8 + -3.3 = 10.5
0.21x = 10.5

Divide each side by '0.21'.
x = 50

Simplifying
x = 50