document.write( "Question 644626: Solve 2|5x − 2| + 4 = 18 for x. \n" ); document.write( "
Algebra.Com's Answer #405176 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"2%2Aabs%285x-2%29%2B4=18\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Aabs%285x-2%29=14\" Subtract 4 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"abs%285x-2%29=7\" Divide both sides by 2\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( "\"5x-2=-7\" or \"5x-2=7\" Set the expression \"5x-2\" equal to the original value 7 and it's opposite -7\r
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\n" ); document.write( "\n" ); document.write( "Now lets focus on the first equation \"5x-2=-7\"\r
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\n" ); document.write( "\n" ); document.write( "\"5x=-7%2B2\"Add 2 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"5x=-5\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-5%29%2F%285%29\" Divide both sides by 5 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=-1\" Divide\r
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\n" ); document.write( "\n" ); document.write( "Now lets focus on the second equation \"5x-2=7\"\r
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\n" ); document.write( "\n" ); document.write( "\"5x=7%2B2\"Add 2 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"5x=9\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%289%29%2F%285%29\" Divide both sides by 5 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=9%2F5\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "So the solutions to \"2%2Aabs%285x-2%29%2B4=18\" are:\r
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\n" ); document.write( "\n" ); document.write( "\"x=-1\" or \"x=9%2F5\"\r
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\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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