document.write( "Question 148098: what order of operation do you use to find a solution \r
\n" ); document.write( "\n" ); document.write( "(x-2)/5-3/2 = (x+1)/10
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Algebra.Com's Answer #108505 by checkley77(12844)\"\" \"About 
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(x-2)/5-3/2 = (x+1)/10
\n" ); document.write( "first you combine the fractions on the left
\n" ); document.write( "[2*(x-2)-3*5)]/5*2)=(x+1)/10
\n" ); document.write( "[2x-4-15]/10=(x+1)/10
\n" ); document.write( "now combine like terms
\n" ); document.write( "[2x-19]/10=(x+1)/10
\n" ); document.write( "now cancel out the denominators
\n" ); document.write( "2x-19=x+1
\n" ); document.write( "now subtract x from both sides
\n" ); document.write( "2x-x-19=x-x+1
\n" ); document.write( "now conbine the x terms
\n" ); document.write( "x-19=1
\n" ); document.write( "now add 19 to both sides
\n" ); document.write( "x-19+19=1+19
\n" ); document.write( "x=20 answer.
\n" ); document.write( "proof:
\n" ); document.write( "(20-2)/5-3/2 = (20+1)/10
\n" ); document.write( "18/5-3/2=21/10
\n" ); document.write( "(18*2-3*5)/10=21/10
\n" ); document.write( "(36-15)/10=21/10
\n" ); document.write( "21/10=21/10\r
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