0.1(30)=0.6(60+x)-0.8

Solution for 0.1(30)=0.6(60+x)-0.8 equation:

Simplifying
0.1(30) = 0.6(60 + x) + -0.8

Multiply 0.1 * 30
3 = 0.6(60 + x) + -0.8
3 = (60 * 0.6 + x * 0.6) + -0.8
3 = (36 + 0.6x) + -0.8

Reorder the terms:
3 = 36 + -0.8 + 0.6x

Combine like terms: 36 + -0.8 = 35.2
3 = 35.2 + 0.6x

Solving
3 = 35.2 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
3 + -0.6x = 35.2 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
3 + -0.6x = 35.2 + 0.0
3 + -0.6x = 35.2

Add '-3' to each side of the equation.
3 + -3 + -0.6x = 35.2 + -3

Combine like terms: 3 + -3 = 0
0 + -0.6x = 35.2 + -3
-0.6x = 35.2 + -3

Combine like terms: 35.2 + -3 = 32.2
-0.6x = 32.2

Divide each side by '-0.6'.
x = -53.66666667

Simplifying
x = -53.66666667