0.1(x+60)-0.03(x-20)=5.2

Solution for 0.1(x+60)-0.03(x-20)=5.2 equation:

Simplifying
0.1(x + 60) + -0.03(x + -20) = 5.2

Reorder the terms:
0.1(60 + x) + -0.03(x + -20) = 5.2
(60 * 0.1 + x * 0.1) + -0.03(x + -20) = 5.2
(6 + 0.1x) + -0.03(x + -20) = 5.2

Reorder the terms:
6 + 0.1x + -0.03(-20 + x) = 5.2
6 + 0.1x + (-20 * -0.03 + x * -0.03) = 5.2
6 + 0.1x + (0.6 + -0.03x) = 5.2

Reorder the terms:
6 + 0.6 + 0.1x + -0.03x = 5.2

Combine like terms: 6 + 0.6 = 6.6
6.6 + 0.1x + -0.03x = 5.2

Combine like terms: 0.1x + -0.03x = 0.07x
6.6 + 0.07x = 5.2

Solving
6.6 + 0.07x = 5.2

Solving for variable 'x'.

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

Add '-6.6' to each side of the equation.
6.6 + -6.6 + 0.07x = 5.2 + -6.6

Combine like terms: 6.6 + -6.6 = 0.0
0.0 + 0.07x = 5.2 + -6.6
0.07x = 5.2 + -6.6

Combine like terms: 5.2 + -6.6 = -1.4
0.07x = -1.4

Divide each side by '0.07'.
x = -20

Simplifying
x = -20