document.write( "Question 338045: How do you solve an absolute value equation like this | 10-4x | = 2 \n" ); document.write( "
Algebra.Com's Answer #242956 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"abs%2810-4x%29=2\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "Break up the absolute value (remember, if you have \"abs%28x%29=a\", then \"x=-a\" or \"x=a\")\r
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\n" ); document.write( "\n" ); document.write( "\"10-4x=-2\" or \"10-4x=2\" Set the expression \"10-4x\" equal to the original value 2 and it's opposite -2\r
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\n" ); document.write( "\n" ); document.write( "Now lets focus on the first equation \"10-4x=-2\"\r
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\n" ); document.write( "\n" ); document.write( "\"-4x=-2-10\"Subtract 10 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-4x=-12\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-12%29%2F%28-4%29\" Divide both sides by -4 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=3\" Divide\r
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\n" ); document.write( "\n" ); document.write( "Now lets focus on the second equation \"10-4x=2\"\r
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\n" ); document.write( "\n" ); document.write( "\"-4x=2-10\"Subtract 10 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-4x=-8\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-8%29%2F%28-4%29\" Divide both sides by -4 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=2\" Divide\r
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\n" ); document.write( "\n" ); document.write( "So the solutions to \"abs%2810-4x%29=2\" are:\r
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\n" ); document.write( "\n" ); document.write( "\"x=3\" or \"x=2\"\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website. \r
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\n" ); document.write( "\n" ); document.write( "Jim
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