document.write( "Question 1208247: |x+4|+2|x+4|+4|x+4|+5=19\r
\n" ); document.write( "\n" ); document.write( "Hi tutor
\n" ); document.write( "I am struggling in my algebra class, particularly with absolute value. Would you please take me step by step through the process of how I would solve it? \n" ); document.write( "
Algebra.Com's Answer #846547 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Or you can do it this way\r\n" );
document.write( "\r\n" );
document.write( "There are two cases:\r\n" );
document.write( "\r\n" );
document.write( "Case 1:\r\n" );
document.write( "What's between the absolute value bars is not negative:\r\n" );
document.write( "\r\n" );
document.write( "If what's between the absolute value bars is not negative, you\r\n" );
document.write( "can just replace the bars with parentheses:\r\n" );
document.write( "\r\n" );
document.write( "|x+4| + 2|x+4| + 4|x+4| + 5 = 19\r\n" );
document.write( "\r\n" );
document.write( "(x+4) + 2(x+4) + 4(x+4) + 5 = 19\r\n" );
document.write( "\r\n" );
document.write( "     x+4 + 2x+8 + 4x+16 + 5 = 19\r\n" );
document.write( "\r\n" );
document.write( "                    7x + 33 = 19\r\n" );
document.write( "\r\n" );
document.write( "                         7x = -14\r\n" );
document.write( "\r\n" );
document.write( "                          x = -2\r\n" );
document.write( "\r\n" );
document.write( "Case 2:\r\n" );
document.write( "What's between the absolute value bars is negative:\r\n" );
document.write( "\r\n" );
document.write( "If what's between the absolute value bars is negative, you\r\n" );
document.write( "change all the signs between the bars and replace the bars \r\n" );
document.write( "with parentheses:\r\n" );
document.write( "\r\n" );
document.write( "   |x+4| + 2|x+4| + 4|x+4| + 5 = 19\r\n" );
document.write( "\r\n" );
document.write( "(-x-4) + 2(-x-4) + 4(-x-4) + 5 = 19\r\n" );
document.write( "\r\n" );
document.write( " -x - 4 - 2x - 8 - 4x - 16 + 5 = 19\r\n" );
document.write( "\r\n" );
document.write( "                      -7x - 23 = 19\r\n" );
document.write( "\r\n" );
document.write( "                           -7x = 42\r\n" );
document.write( "\r\n" );
document.write( "                             x = -6\r\n" );
document.write( "\r\n" );
document.write( "Answers: x = -2 or x = -6\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );