.2(g-6)=.6(g-4)

Solution for .2(g-6)=.6(g-4) equation:

Simplifying
0.2(g + -6) = 0.6(g + -4)

Reorder the terms:
0.2(-6 + g) = 0.6(g + -4)
(-6 * 0.2 + g * 0.2) = 0.6(g + -4)
(-1.2 + 0.2g) = 0.6(g + -4)

Reorder the terms:
-1.2 + 0.2g = 0.6(-4 + g)
-1.2 + 0.2g = (-4 * 0.6 + g * 0.6)
-1.2 + 0.2g = (-2.4 + 0.6g)

Solving
-1.2 + 0.2g = -2.4 + 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.
-1.2 + 0.2g + -0.6g = -2.4 + 0.6g + -0.6g

Combine like terms: 0.2g + -0.6g = -0.4g
-1.2 + -0.4g = -2.4 + 0.6g + -0.6g

Combine like terms: 0.6g + -0.6g = 0.0
-1.2 + -0.4g = -2.4 + 0.0
-1.2 + -0.4g = -2.4

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.4g = -2.4 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.4g = -2.4 + 1.2
-0.4g = -2.4 + 1.2

Combine like terms: -2.4 + 1.2 = -1.2
-0.4g = -1.2

Divide each side by '-0.4'.
g = 3

Simplifying
g = 3