0.6(2x-4)=0.2(x+8)

Solution for 0.6(2x-4)=0.2(x+8) equation:

Simplifying
0.6(2x + -4) = 0.2(x + 8)

Reorder the terms:
0.6(-4 + 2x) = 0.2(x + 8)
(-4 * 0.6 + 2x * 0.6) = 0.2(x + 8)
(-2.4 + 1.2x) = 0.2(x + 8)

Reorder the terms:
-2.4 + 1.2x = 0.2(8 + x)
-2.4 + 1.2x = (8 * 0.2 + x * 0.2)
-2.4 + 1.2x = (1.6 + 0.2x)

Solving
-2.4 + 1.2x = 1.6 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-2.4 + 1.2x + -0.2x = 1.6 + 0.2x + -0.2x

Combine like terms: 1.2x + -0.2x = 1x
-2.4 + 1x = 1.6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-2.4 + 1x = 1.6 + 0.0
-2.4 + 1x = 1.6

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 1x = 1.6 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 1x = 1.6 + 2.4
1x = 1.6 + 2.4

Combine like terms: 1.6 + 2.4 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4