document.write( "Question 770911: Solve. 2|3(x - 5)| + 3 = 9
\n" ); document.write( "There are two possible answers, and I'm unsure of what I'm doing wrong, i got -4,-7. Can you please work out this problem for me so i can see where i made the mistake. Thank you :) \n" ); document.write( "

Algebra.Com's Answer #469847 by josgarithmetic(39627) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, isolate the absolute value function.\r
\n" ); document.write( "\n" ); document.write( " $\"abs%28x-5%29=%289-3%29%2F6\"$
\n" ); document.write( " $\"abs%28x-5%29=1\"$
\n" ); document.write( "The factor of 3 inside the absolute value function is positive; so inside or outside the absolute value, not important.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now treat for conditions of $\"x-5%3C0\"$ and $\"x-5%3E=0\"$
\n" ); document.write( "'
\n" ); document.write( " $\"x-5%3C0\"$ means $\"abs%28x-5%29=-x-5=1\"$
\n" ); document.write( " $\"x%2B5=1\"$
\n" ); document.write( " $\"x=-4\"$
\n" ); document.write( "'
\n" ); document.write( " $\"x-5%3E=0\"$ means $\"abs%28x-5%29=x-5=1\"$
\n" ); document.write( " $\"x=1%2B5\"$
\n" ); document.write( " $\"x=6\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "RESULT: $\"highlight%28x=-4%29\"$ OR $\"highlight%28x=6%29\"$ \n" ); document.write( "

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