3(.5x-4.2)=.6(x-12)

Solution for 3(.5x-4.2)=.6(x-12) equation:

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

Reorder the terms:
3(-4.2 + 0.5x) = 0.6(x + -12)
(-4.2 * 3 + 0.5x * 3) = 0.6(x + -12)
(-12.6 + 1.5x) = 0.6(x + -12)

Reorder the terms:
-12.6 + 1.5x = 0.6(-12 + x)
-12.6 + 1.5x = (-12 * 0.6 + x * 0.6)
-12.6 + 1.5x = (-7.2 + 0.6x)

Solving
-12.6 + 1.5x = -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.
-12.6 + 1.5x + -0.6x = -7.2 + 0.6x + -0.6x

Combine like terms: 1.5x + -0.6x = 0.9x
-12.6 + 0.9x = -7.2 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-12.6 + 0.9x = -7.2 + 0.0
-12.6 + 0.9x = -7.2

Add '12.6' to each side of the equation.
-12.6 + 12.6 + 0.9x = -7.2 + 12.6

Combine like terms: -12.6 + 12.6 = 0.0
0.0 + 0.9x = -7.2 + 12.6
0.9x = -7.2 + 12.6

Combine like terms: -7.2 + 12.6 = 5.4
0.9x = 5.4

Divide each side by '0.9'.
x = 6

Simplifying
x = 6