8(3g+2)-3g=3(5g-4)2

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Solution for 8(3g+2)-3g=3(5g-4)2 equation: 


Simplifying
8(3g + 2) + -3g = 3(5g + -4) * 2

Reorder the terms:
8(2 + 3g) + -3g = 3(5g + -4) * 2
(2 * 8 + 3g * 8) + -3g = 3(5g + -4) * 2
(16 + 24g) + -3g = 3(5g + -4) * 2

Combine like terms: 24g + -3g = 21g
16 + 21g = 3(5g + -4) * 2

Reorder the terms:
16 + 21g = 3(-4 + 5g) * 2

Reorder the terms for easier multiplication:
16 + 21g = 3 * 2(-4 + 5g)

Multiply 3 * 2
16 + 21g = 6(-4 + 5g)
16 + 21g = (-4 * 6 + 5g * 6)
16 + 21g = (-24 + 30g)

Solving
16 + 21g = -24 + 30g

Solving for variable 'g'.

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

Add '-30g' to each side of the equation.
16 + 21g + -30g = -24 + 30g + -30g

Combine like terms: 21g + -30g = -9g
16 + -9g = -24 + 30g + -30g

Combine like terms: 30g + -30g = 0
16 + -9g = -24 + 0
16 + -9g = -24

Add '-16' to each side of the equation.
16 + -16 + -9g = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -9g = -24 + -16
-9g = -24 + -16

Combine like terms: -24 + -16 = -40
-9g = -40

Divide each side by '-9'.
g = 4.444444444

Simplifying
g = 4.444444444

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