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

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

Simplifying
0.2(g + -7) = 0.8(g + -5)

Reorder the terms:
0.2(-7 + g) = 0.8(g + -5)
(-7 * 0.2 + g * 0.2) = 0.8(g + -5)
(-1.4 + 0.2g) = 0.8(g + -5)

Reorder the terms:
-1.4 + 0.2g = 0.8(-5 + g)
-1.4 + 0.2g = (-5 * 0.8 + g * 0.8)
-1.4 + 0.2g = (-4 + 0.8g)

Solving
-1.4 + 0.2g = -4 + 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.
-1.4 + 0.2g + -0.8g = -4 + 0.8g + -0.8g

Combine like terms: 0.2g + -0.8g = -0.6g
-1.4 + -0.6g = -4 + 0.8g + -0.8g

Combine like terms: 0.8g + -0.8g = 0.0
-1.4 + -0.6g = -4 + 0.0
-1.4 + -0.6g = -4

Add '1.4' to each side of the equation.
-1.4 + 1.4 + -0.6g = -4 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + -0.6g = -4 + 1.4
-0.6g = -4 + 1.4

Combine like terms: -4 + 1.4 = -2.6
-0.6g = -2.6

Divide each side by '-0.6'.
g = 4.333333333

Simplifying
g = 4.333333333