0.6-0.5(6x-2)=0.3(2-2x)

Solution for 0.6-0.5(6x-2)=0.3(2-2x) equation:

Simplifying
0.6 + -0.5(6x + -2) = 0.3(2 + -2x)

Reorder the terms:
0.6 + -0.5(-2 + 6x) = 0.3(2 + -2x)
0.6 + (-2 * -0.5 + 6x * -0.5) = 0.3(2 + -2x)
0.6 + (1 + -3x) = 0.3(2 + -2x)

Combine like terms: 0.6 + 1 = 1.6
1.6 + -3x = 0.3(2 + -2x)
1.6 + -3x = (2 * 0.3 + -2x * 0.3)
1.6 + -3x = (0.6 + -0.6x)

Solving
1.6 + -3x = 0.6 + -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.
1.6 + -3x + 0.6x = 0.6 + -0.6x + 0.6x

Combine like terms: -3x + 0.6x = -2.4x
1.6 + -2.4x = 0.6 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
1.6 + -2.4x = 0.6 + 0.0
1.6 + -2.4x = 0.6

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -2.4x = 0.6 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -2.4x = 0.6 + -1.6
-2.4x = 0.6 + -1.6

Combine like terms: 0.6 + -1.6 = -1
-2.4x = -1

Divide each side by '-2.4'.
x = 0.4166666667

Simplifying
x = 0.4166666667