0.3(g-8)=0.8(g-2)

Solution for 0.3(g-8)=0.8(g-2) equation:

Simplifying
0.3(g + -8) = 0.8(g + -2)

Reorder the terms:
0.3(-8 + g) = 0.8(g + -2)
(-8 * 0.3 + g * 0.3) = 0.8(g + -2)
(-2.4 + 0.3g) = 0.8(g + -2)

Reorder the terms:
-2.4 + 0.3g = 0.8(-2 + g)
-2.4 + 0.3g = (-2 * 0.8 + g * 0.8)
-2.4 + 0.3g = (-1.6 + 0.8g)

Solving
-2.4 + 0.3g = -1.6 + 0.8g

Solving for variable 'g'.

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

Add '-0.8g' to each side of the equation.
-2.4 + 0.3g + -0.8g = -1.6 + 0.8g + -0.8g

Combine like terms: 0.3g + -0.8g = -0.5g
-2.4 + -0.5g = -1.6 + 0.8g + -0.8g

Combine like terms: 0.8g + -0.8g = 0.0
-2.4 + -0.5g = -1.6 + 0.0
-2.4 + -0.5g = -1.6

Add '2.4' to each side of the equation.
-2.4 + 2.4 + -0.5g = -1.6 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + -0.5g = -1.6 + 2.4
-0.5g = -1.6 + 2.4

Combine like terms: -1.6 + 2.4 = 0.8
-0.5g = 0.8

Divide each side by '-0.5'.
g = -1.6

Simplifying
g = -1.6