document.write( "Question 318433: 3/5(x+4)+1/2x=x+3 \n" ); document.write( "
Algebra.Com's Answer #227896 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%283%2F5%29%28x%2B4%29%2B%281%2F2%29x=x%2B3\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F5%29x%2B12%2F5%2B%281%2F2%29x=x%2B3\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"10%28%283%2Fcross%285%29%29x%2B12%2Fcross%285%29%2B%281%2Fcross%282%29%29x%29=10%28x%2B3%29\" Multiply both sides by the LCD \"10\" to clear any fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"6x%2B24%2B5x=10x%2B30\" Distribute and multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"11x%2B24=10x%2B30\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"11x=10x%2B30-24\" Subtract \"24\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"11x-10x=30-24\" Subtract \"10x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x=30-24\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=6\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x=6\"
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