What is the solution of |3x-2|=7 ?

a. x = 5/3 or x = 9

b. x = - 5/3 or x = 3

c. x = - 5/3 or x = 5/3

d. x = 5/3 or x = 3

I3x-2I=7

separate the absolute value equation into two parts-one + the other -

3x-2=7 and 3x-2=-7

add 2 to both sides (on each equation)

3x=9 and 3x=-5

divide 3 from both sides (on each equation)

this leaves you with

x=3 and x=-5/3

the answer is b.

Hope this helps!

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