document.write( "Question 150824: Solve |-10x + 70| = |8x - 74| \r
\n" ); document.write( "\n" ); document.write( "I really have no idea as to how to go about starting this problem.... Please help! \n" ); document.write( "
Algebra.Com's Answer #110816 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve |-10x + 70| = |8x - 74|
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\n" ); document.write( "Case 1:
\n" ); document.write( "-10x + 70 = +|8x - 74|
\n" ); document.write( "-10x + 70 = 8x - 74
\n" ); document.write( "-10x - 8x = -74 - 70
\n" ); document.write( "-18x = -144
\n" ); document.write( "x = \"%28-144%29%2F%28-18%29\"
\n" ); document.write( "x = +8
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\n" ); document.write( "Case 2:
\n" ); document.write( "-10x + 70 = -|8x - 74|
\n" ); document.write( "-10x + 70 = -(8x - 74)
\n" ); document.write( "-10x + 70 = -8x + 74
\n" ); document.write( "-10x + 8x = 74 - 70
\n" ); document.write( "-2x = +4
\n" ); document.write( "x = \"4%2F%28-2%29\"
\n" ); document.write( "x = -2
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\n" ); document.write( "Prove that this is true by substituting both values in the original equation
\n" ); document.write( "x=8)
\n" ); document.write( "|-10(8) + 70| = |8(8) - 74|
\n" ); document.write( "|-80 + 70| = |64 - 74|
\n" ); document.write( "|-10| = |-10|
\n" ); document.write( "+10 = +10
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\n" ); document.write( "x=-2
\n" ); document.write( "|-10(-2) + 70| = |8(-2) - 74|
\n" ); document.write( "|+20 + 70| = |-16 - 74|
\n" ); document.write( "|+90| = |-90|
\n" ); document.write( "+90 = +90
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