0.4-0.2(2-5x)=-0.6(x-6)

Solution for 0.4-0.2(2-5x)=-0.6(x-6) equation:

Simplifying
0.4 + -0.2(2 + -5x) = -0.6(x + -6)
0.4 + (2 * -0.2 + -5x * -0.2) = -0.6(x + -6)
0.4 + (-0.4 + 1x) = -0.6(x + -6)

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 1x = -0.6(x + -6)
1x = -0.6(x + -6)

Reorder the terms:
1x = -0.6(-6 + x)
1x = (-6 * -0.6 + x * -0.6)
1x = (3.6 + -0.6x)

Solving
1x = 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.
1x + 0.6x = 3.6 + -0.6x + 0.6x

Combine like terms: 1x + 0.6x = 1.6x
1.6x = 3.6 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
1.6x = 3.6 + 0.0
1.6x = 3.6

Divide each side by '1.6'.
x = 2.25

Simplifying
x = 2.25