Case 1: x > 2/3 or x = 2/3
2(3x-2)-3 = 7
6x-4-3 = 7
6x = 14
x = 7/3
Case 2: x<2/3
2(2-3x) - 3 = 7
4-6x -3 = 7
6x = -6
x = -1
x = 7/3 or -1
Algebra
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GMATGuruNY
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2|3x-2| - 3 = 7
2|3x-2| = 10
|3x-2| = 5
Case 1: 3x-2 = 5
3x = 7
x = 7/3.
Case 2: 3x-2 = -5
3x = -3
x = -1.
x=7/3 or x=-1.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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amit28it
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On solving this equation you will get 7/3 in this manner:
2|3x - 2| - 3 = 7.
6x-4-3 = 7
6x = 14
x = 14/6 that is
x = 7/3
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