0.1(x+20)-0.06(x-60)=6.4

Solution for 0.1(x+20)-0.06(x-60)=6.4 equation:

Simplifying
0.1(x + 20) + -0.06(x + -60) = 6.4

Reorder the terms:
0.1(20 + x) + -0.06(x + -60) = 6.4
(20 * 0.1 + x * 0.1) + -0.06(x + -60) = 6.4
(2 + 0.1x) + -0.06(x + -60) = 6.4

Reorder the terms:
2 + 0.1x + -0.06(-60 + x) = 6.4
2 + 0.1x + (-60 * -0.06 + x * -0.06) = 6.4
2 + 0.1x + (3.6 + -0.06x) = 6.4

Reorder the terms:
2 + 3.6 + 0.1x + -0.06x = 6.4

Combine like terms: 2 + 3.6 = 5.6
5.6 + 0.1x + -0.06x = 6.4

Combine like terms: 0.1x + -0.06x = 0.04x
5.6 + 0.04x = 6.4

Solving
5.6 + 0.04x = 6.4

Solving for variable 'x'.

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

Add '-5.6' to each side of the equation.
5.6 + -5.6 + 0.04x = 6.4 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + 0.04x = 6.4 + -5.6
0.04x = 6.4 + -5.6

Combine like terms: 6.4 + -5.6 = 0.8
0.04x = 0.8

Divide each side by '0.04'.
x = 20

Simplifying
x = 20