0.3x-0.9(4-3x)=-0.6(x-6)

Solution for 0.3x-0.9(4-3x)=-0.6(x-6) equation:

Simplifying
0.3x + -0.9(4 + -3x) = -0.6(x + -6)
0.3x + (4 * -0.9 + -3x * -0.9) = -0.6(x + -6)
0.3x + (-3.6 + 2.7x) = -0.6(x + -6)

Reorder the terms:
-3.6 + 0.3x + 2.7x = -0.6(x + -6)

Combine like terms: 0.3x + 2.7x = 3x
-3.6 + 3x = -0.6(x + -6)

Reorder the terms:
-3.6 + 3x = -0.6(-6 + x)
-3.6 + 3x = (-6 * -0.6 + x * -0.6)
-3.6 + 3x = (3.6 + -0.6x)

Solving
-3.6 + 3x = 3.6 + -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.
-3.6 + 3x + 0.6x = 3.6 + -0.6x + 0.6x

Combine like terms: 3x + 0.6x = 3.6x
-3.6 + 3.6x = 3.6 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-3.6 + 3.6x = 3.6 + 0.0
-3.6 + 3.6x = 3.6

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

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

Combine like terms: 3.6 + 3.6 = 7.2
3.6x = 7.2

Divide each side by '3.6'.
x = 2

Simplifying
x = 2