0.3(g-8)=0.8(g-5)

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Solution for 0.3(g-8)=0.8(g-5) equation:


Simplifying
0.3(g + -8) = 0.8(g + -5)

Reorder the terms:
0.3(-8 + g) = 0.8(g + -5)
(-8 * 0.3 + g * 0.3) = 0.8(g + -5)
(-2.4 + 0.3g) = 0.8(g + -5)

Reorder the terms:
-2.4 + 0.3g = 0.8(-5 + g)
-2.4 + 0.3g = (-5 * 0.8 + g * 0.8)
-2.4 + 0.3g = (-4 + 0.8g)

Solving
-2.4 + 0.3g = -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.
-2.4 + 0.3g + -0.8g = -4 + 0.8g + -0.8g

Combine like terms: 0.3g + -0.8g = -0.5g
-2.4 + -0.5g = -4 + 0.8g + -0.8g

Combine like terms: 0.8g + -0.8g = 0.0
-2.4 + -0.5g = -4 + 0.0
-2.4 + -0.5g = -4

Add '2.4' to each side of the equation.
-2.4 + 2.4 + -0.5g = -4 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + -0.5g = -4 + 2.4
-0.5g = -4 + 2.4

Combine like terms: -4 + 2.4 = -1.6
-0.5g = -1.6

Divide each side by '-0.5'.
g = 3.2

Simplifying
g = 3.2

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