document.write( "Question 1127147: |5x|+4=10
\n" ); document.write( "|a+1|=|a-8|
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Algebra.Com's Answer #743513 by addingup(3677) $\"\"$ $\"About$

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|5x|+ 4 = 10
\n" ); document.write( "|5x|+ 4 + − 4 = 10 + − 4
\n" ); document.write( "|5x| = 6
\n" ); document.write( "5x = 6 or 5x = −6
\n" ); document.write( "x = 6/5 or x = -6/5
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\n" ); document.write( "|a + 1| = |a - 8|
\n" ); document.write( "either a + 1 = a − 8 or a + 1 = −(a − 8)
\n" ); document.write( "a + 1 = a − 8 (Possibility 1)
\n" ); document.write( "subtracta from both sides:
\n" ); document.write( "1 = − 8
\n" ); document.write( "Subtract 1 from both sides:
\n" ); document.write( "1 - 1 = -8 -1
\n" ); document.write( "0 = -9 This is the first possibility. Let's explore the second possibility
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\n" ); document.write( "a + 1 = −(a − 8)
\n" ); document.write( "a + 1 = − a + 8
\n" ); document.write( "2a + 1 = 8
\n" ); document.write( "2a + 1 − 1 = 8 − 1
\n" ); document.write( "2a = 7
\n" ); document.write( "2a/2 = 7/2 (Divide both sides by 2)
\n" ); document.write( "a = 7/2 I like this answer better, try it in the equation if you want to check.\r
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