3(0.5-4.2)=0.6(x-12)

Solution for 3(0.5-4.2)=0.6(x-12) equation:

Simplifying
3(0.5 + -4.2) = 0.6(x + -12)

Combine like terms: 0.5 + -4.2 = -3.7
3(-3.7) = 0.6(x + -12)

Multiply 3 * -3.7
-11.1 = 0.6(x + -12)

Reorder the terms:
-11.1 = 0.6(-12 + x)
-11.1 = (-12 * 0.6 + x * 0.6)
-11.1 = (-7.2 + 0.6x)

Solving
-11.1 = -7.2 + 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.
-11.1 + -0.6x = -7.2 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-11.1 + -0.6x = -7.2 + 0.0
-11.1 + -0.6x = -7.2

Add '11.1' to each side of the equation.
-11.1 + 11.1 + -0.6x = -7.2 + 11.1

Combine like terms: -11.1 + 11.1 = 0.0
0.0 + -0.6x = -7.2 + 11.1
-0.6x = -7.2 + 11.1

Combine like terms: -7.2 + 11.1 = 3.9
-0.6x = 3.9

Divide each side by '-0.6'.
x = -6.5

Simplifying
x = -6.5