0.2(g-8)=0.6(g-14)

Solution for 0.2(g-8)=0.6(g-14) equation:

Simplifying
0.2(g + -8) = 0.6(g + -14)

Reorder the terms:
0.2(-8 + g) = 0.6(g + -14)
(-8 * 0.2 + g * 0.2) = 0.6(g + -14)
(-1.6 + 0.2g) = 0.6(g + -14)

Reorder the terms:
-1.6 + 0.2g = 0.6(-14 + g)
-1.6 + 0.2g = (-14 * 0.6 + g * 0.6)
-1.6 + 0.2g = (-8.4 + 0.6g)

Solving
-1.6 + 0.2g = -8.4 + 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.
-1.6 + 0.2g + -0.6g = -8.4 + 0.6g + -0.6g

Combine like terms: 0.2g + -0.6g = -0.4g
-1.6 + -0.4g = -8.4 + 0.6g + -0.6g

Combine like terms: 0.6g + -0.6g = 0.0
-1.6 + -0.4g = -8.4 + 0.0
-1.6 + -0.4g = -8.4

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.4g = -8.4 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.4g = -8.4 + 1.6
-0.4g = -8.4 + 1.6

Combine like terms: -8.4 + 1.6 = -6.8
-0.4g = -6.8

Divide each side by '-0.4'.
g = 17

Simplifying
g = 17