.2(g-2)=.6(g-6)

Solution for .2(g-2)=.6(g-6) equation:

Simplifying
0.2(g + -2) = 0.6(g + -6)

Reorder the terms:
0.2(-2 + g) = 0.6(g + -6)
(-2 * 0.2 + g * 0.2) = 0.6(g + -6)
(-0.4 + 0.2g) = 0.6(g + -6)

Reorder the terms:
-0.4 + 0.2g = 0.6(-6 + g)
-0.4 + 0.2g = (-6 * 0.6 + g * 0.6)
-0.4 + 0.2g = (-3.6 + 0.6g)

Solving
-0.4 + 0.2g = -3.6 + 0.6g

Solving for variable 'g'.

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

Add '-0.6g' to each side of the equation.
-0.4 + 0.2g + -0.6g = -3.6 + 0.6g + -0.6g

Combine like terms: 0.2g + -0.6g = -0.4g
-0.4 + -0.4g = -3.6 + 0.6g + -0.6g

Combine like terms: 0.6g + -0.6g = 0.0
-0.4 + -0.4g = -3.6 + 0.0
-0.4 + -0.4g = -3.6

Add '0.4' to each side of the equation.
-0.4 + 0.4 + -0.4g = -3.6 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -0.4g = -3.6 + 0.4
-0.4g = -3.6 + 0.4

Combine like terms: -3.6 + 0.4 = -3.2
-0.4g = -3.2

Divide each side by '-0.4'.
g = 8

Simplifying
g = 8