0.3(x+50)-0.08(x-20)=23.2

Solution for 0.3(x+50)-0.08(x-20)=23.2 equation:

Simplifying
0.3(x + 50) + -0.08(x + -20) = 23.2

Reorder the terms:
0.3(50 + x) + -0.08(x + -20) = 23.2
(50 * 0.3 + x * 0.3) + -0.08(x + -20) = 23.2
(15 + 0.3x) + -0.08(x + -20) = 23.2

Reorder the terms:
15 + 0.3x + -0.08(-20 + x) = 23.2
15 + 0.3x + (-20 * -0.08 + x * -0.08) = 23.2
15 + 0.3x + (1.6 + -0.08x) = 23.2

Reorder the terms:
15 + 1.6 + 0.3x + -0.08x = 23.2

Combine like terms: 15 + 1.6 = 16.6
16.6 + 0.3x + -0.08x = 23.2

Combine like terms: 0.3x + -0.08x = 0.22x
16.6 + 0.22x = 23.2

Solving
16.6 + 0.22x = 23.2

Solving for variable 'x'.

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

Add '-16.6' to each side of the equation.
16.6 + -16.6 + 0.22x = 23.2 + -16.6

Combine like terms: 16.6 + -16.6 = 0.0
0.0 + 0.22x = 23.2 + -16.6
0.22x = 23.2 + -16.6

Combine like terms: 23.2 + -16.6 = 6.6
0.22x = 6.6

Divide each side by '0.22'.
x = 30

Simplifying
x = 30