.2(x-2)=.1(x+6)

Solution for .2(x-2)=.1(x+6) equation:

Simplifying
0.2(x + -2) = 0.1(x + 6)

Reorder the terms:
0.2(-2 + x) = 0.1(x + 6)
(-2 * 0.2 + x * 0.2) = 0.1(x + 6)
(-0.4 + 0.2x) = 0.1(x + 6)

Reorder the terms:
-0.4 + 0.2x = 0.1(6 + x)
-0.4 + 0.2x = (6 * 0.1 + x * 0.1)
-0.4 + 0.2x = (0.6 + 0.1x)

Solving
-0.4 + 0.2x = 0.6 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
-0.4 + 0.2x + -0.1x = 0.6 + 0.1x + -0.1x

Combine like terms: 0.2x + -0.1x = 0.1x
-0.4 + 0.1x = 0.6 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-0.4 + 0.1x = 0.6 + 0.0
-0.4 + 0.1x = 0.6

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.1x = 0.6 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.1x = 0.6 + 0.4
0.1x = 0.6 + 0.4

Combine like terms: 0.6 + 0.4 = 1
0.1x = 1

Divide each side by '0.1'.
x = 10

Simplifying
x = 10