document.write( "Question 214934: Can you please show the progression to get to a solution of \"1/8\" for the problem below? \r
\n" ); document.write( "\n" ); document.write( "(1/5 – x) ÷ 27/50 = x ÷ 9/10
\n" ); document.write( "x = 1/8\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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Algebra.Com's Answer #162395 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
((1/5) - x) / (27/50) = x / (9/10)
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\n" ); document.write( "This equation is the same as:
\n" ); document.write( "\"x%2F%289%2F10%29+=+%28%281%2F5%29-x%29%2F%2827%2F50%29\"
\n" ); document.write( "-----
\n" ); document.write( "\"x+%2F+%289%2F10%29\" is the same as \"x+%2A+%2810%2F9%29\" = \"%2810%2Ax%29%2F9\"
\n" ); document.write( "-----
\n" ); document.write( "\"%28%281%2F5%29+-+x%29+%2F+%2827%2F50%29\" is the same as \"%28%281%2F5%29-x%29+%2A+%2850%2F27%29\" = \"%28%28%281%2F5%29-x%29+%2A+50%29%2F27\"
\n" ); document.write( "-----
\n" ); document.write( "Your equation becomes:
\n" ); document.write( "-----
\n" ); document.write( "\"%28%28%281%2F5%29-x%29+%2A+50%29%2F27\" = \"%2810%2Ax%29%2F9\"
\n" ); document.write( "-----
\n" ); document.write( "Multiply both sides of this equation by 27 to get:
\n" ); document.write( "\"%28%28%281%2F5%29-x%29+%2A+50%29\" = \"%2827%2A10%2Ax%29%2F9\" which becomes:
\n" ); document.write( "\"%28%28%281%2F5%29-x%29%2A50%29\" = \"%2830%2Ax%29\"
\n" ); document.write( "-----
\n" ); document.write( "\"%28%28%281%2F5%29-x%29%2A50%29\" becomes \"%2810-50%2Ax%29\" so your equation becomes:
\n" ); document.write( "\"10-50%2Ax+=+30%2Ax\"
\n" ); document.write( "-----
\n" ); document.write( "add \"50%2Ax\" to both sides of this equation to get:
\n" ); document.write( "\"10+=+30%2Ax+%2B+50%2Ax\" which becomes:
\n" ); document.write( "\"10+=+80%2Ax\"
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\n" ); document.write( "divide both sides of this equation by 80 to get:
\n" ); document.write( "\"x+=+1%2F8\"
\n" ); document.write( "-----\r
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