.2(x-8)=.6(x-2)

Solution for .2(x-8)=.6(x-2) equation:

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

Reorder the terms:
0.2(-8 + x) = 0.6(x + -2)
(-8 * 0.2 + x * 0.2) = 0.6(x + -2)
(-1.6 + 0.2x) = 0.6(x + -2)

Reorder the terms:
-1.6 + 0.2x = 0.6(-2 + x)
-1.6 + 0.2x = (-2 * 0.6 + x * 0.6)
-1.6 + 0.2x = (-1.2 + 0.6x)

Solving
-1.6 + 0.2x = -1.2 + 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 + 0.2x + -0.6x = -1.2 + 0.6x + -0.6x

Combine like terms: 0.2x + -0.6x = -0.4x
-1.6 + -0.4x = -1.2 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-1.6 + -0.4x = -1.2 + 0.0
-1.6 + -0.4x = -1.2

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.4x = -1.2 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.4x = -1.2 + 1.6
-0.4x = -1.2 + 1.6

Combine like terms: -1.2 + 1.6 = 0.4
-0.4x = 0.4

Divide each side by '-0.4'.
x = -1

Simplifying
x = -1