0.2(x+30)-0.6(x-20)=10

Solution for 0.2(x+30)-0.6(x-20)=10 equation:

Simplifying
0.2(x + 30) + -0.6(x + -20) = 10

Reorder the terms:
0.2(30 + x) + -0.6(x + -20) = 10
(30 * 0.2 + x * 0.2) + -0.6(x + -20) = 10
(6 + 0.2x) + -0.6(x + -20) = 10

Reorder the terms:
6 + 0.2x + -0.6(-20 + x) = 10
6 + 0.2x + (-20 * -0.6 + x * -0.6) = 10
6 + 0.2x + (12 + -0.6x) = 10

Reorder the terms:
6 + 12 + 0.2x + -0.6x = 10

Combine like terms: 6 + 12 = 18
18 + 0.2x + -0.6x = 10

Combine like terms: 0.2x + -0.6x = -0.4x
18 + -0.4x = 10

Solving
18 + -0.4x = 10

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -0.4x = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -0.4x = 10 + -18
-0.4x = 10 + -18

Combine like terms: 10 + -18 = -8
-0.4x = -8

Divide each side by '-0.4'.
x = 20

Simplifying
x = 20