.2(g-8)=.7(g-5)

Solution for .2(g-8)=.7(g-5) equation:

Simplifying
0.2(g + -8) = 0.7(g + -5)

Reorder the terms:
0.2(-8 + g) = 0.7(g + -5)
(-8 * 0.2 + g * 0.2) = 0.7(g + -5)
(-1.6 + 0.2g) = 0.7(g + -5)

Reorder the terms:
-1.6 + 0.2g = 0.7(-5 + g)
-1.6 + 0.2g = (-5 * 0.7 + g * 0.7)
-1.6 + 0.2g = (-3.5 + 0.7g)

Solving
-1.6 + 0.2g = -3.5 + 0.7g

Solving for variable 'g'.

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

Add '-0.7g' to each side of the equation.
-1.6 + 0.2g + -0.7g = -3.5 + 0.7g + -0.7g

Combine like terms: 0.2g + -0.7g = -0.5g
-1.6 + -0.5g = -3.5 + 0.7g + -0.7g

Combine like terms: 0.7g + -0.7g = 0.0
-1.6 + -0.5g = -3.5 + 0.0
-1.6 + -0.5g = -3.5

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.5g = -3.5 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.5g = -3.5 + 1.6
-0.5g = -3.5 + 1.6

Combine like terms: -3.5 + 1.6 = -1.9
-0.5g = -1.9

Divide each side by '-0.5'.
g = 3.8

Simplifying
g = 3.8