0.3(x-12)=1.2(x-3)

Solution for 0.3(x-12)=1.2(x-3) equation:

Simplifying
0.3(x + -12) = 1.2(x + -3)

Reorder the terms:
0.3(-12 + x) = 1.2(x + -3)
(-12 * 0.3 + x * 0.3) = 1.2(x + -3)
(-3.6 + 0.3x) = 1.2(x + -3)

Reorder the terms:
-3.6 + 0.3x = 1.2(-3 + x)
-3.6 + 0.3x = (-3 * 1.2 + x * 1.2)
-3.6 + 0.3x = (-3.6 + 1.2x)

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 0.3x = -3.6 + 3.6 + 1.2x

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 0.3x = -3.6 + 3.6 + 1.2x
0.3x = -3.6 + 3.6 + 1.2x

Combine like terms: -3.6 + 3.6 = 0.0
0.3x = 0.0 + 1.2x
0.3x = 1.2x

Solving
0.3x = 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
0.3x + -1.2x = 1.2x + -1.2x

Combine like terms: 0.3x + -1.2x = -0.9x
-0.9x = 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-0.9x = 0.0

Divide each side by '-0.9'.
x = 0

Simplifying
x = 0