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2/3 (9x – 6) – 4 = 9x – 6Based on the equation above, what is the valueof 3x – 2 ?A) -4B)-4/5C) -2/3D) 4

User Joe Barone
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1 Answer

4 votes

The given equation is expressed as

2/3(9x - 6) - 4 = 9x - 6

The first step is to multiplyboth sides of the equation by 3. It becomes

2*3/3(9x - 6) - 4*3 = 3(9x - 6)

2(9x - 6) - 12 = 3(9x - 6)

18x - 12 - 12 = 27x - 18

27x - 18x = - 12 - 12 + 18

9x = - 6

x = - 6/9

x = - 2/3

To determine 3x - 2, we would substitute x = - 2/3 for x. It becomes

3 * - 2/3 - 2

= - 2 - 2

= - 4

The correc option is A

User Ufasoli
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