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
16 + 21g = (-4 * 3 + 5g * 3) + -2
16 + 21g = (-12 + 15g) + -2

Reorder the terms:
16 + 21g = -12 + -2 + 15g

Combine like terms: -12 + -2 = -14
16 + 21g = -14 + 15g

Solving
16 + 21g = -14 + 15g

Solving for variable 'g'.

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

Add '-15g' to each side of the equation.
16 + 21g + -15g = -14 + 15g + -15g

Combine like terms: 21g + -15g = 6g
16 + 6g = -14 + 15g + -15g

Combine like terms: 15g + -15g = 0
16 + 6g = -14 + 0
16 + 6g = -14

Add '-16' to each side of the equation.
16 + -16 + 6g = -14 + -16

Combine like terms: 16 + -16 = 0
0 + 6g = -14 + -16
6g = -14 + -16

Combine like terms: -14 + -16 = -30
6g = -30

Divide each side by '6'.
g = -5

Simplifying
g = -5

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