0.1(60)=0.4(50+x)-0.6

Solution for 0.1(60)=0.4(50+x)-0.6 equation:

Simplifying
0.1(60) = 0.4(50 + x) + -0.6

Multiply 0.1 * 60
6 = 0.4(50 + x) + -0.6
6 = (50 * 0.4 + x * 0.4) + -0.6
6 = (20 + 0.4x) + -0.6

Reorder the terms:
6 = 20 + -0.6 + 0.4x

Combine like terms: 20 + -0.6 = 19.4
6 = 19.4 + 0.4x

Solving
6 = 19.4 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
6 + -0.4x = 19.4 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
6 + -0.4x = 19.4 + 0.0
6 + -0.4x = 19.4

Add '-6' to each side of the equation.
6 + -6 + -0.4x = 19.4 + -6

Combine like terms: 6 + -6 = 0
0 + -0.4x = 19.4 + -6
-0.4x = 19.4 + -6

Combine like terms: 19.4 + -6 = 13.4
-0.4x = 13.4

Divide each side by '-0.4'.
x = -33.5

Simplifying
x = -33.5