document.write( "Question 29799: (x-4)/5-(x+2)/4 = (3-x)/10 \n" ); document.write( "

Algebra.Com's Answer #16517 by sdmmadam@yahoo.com(530) $\"\"$ $\"About$

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(x-4)/5-(x+2)/4 = (3-x)/10 ----(1)
\n" ); document.write( "Multiplying through out by 20 which is the lcm of the denominators 5,4 and 10
\n" ); document.write( "4(x-4)-5(x+2)=2(3-x)----(2)
\n" ); document.write( "4x-16-5x-10 = 6 - 2x
\n" ); document.write( "(4x-5x)-16-10 = 6 - 2x (grouping like terms)
\n" ); document.write( "-x-26 = 6-2x
\n" ); document.write( "-x+2x= 6+26 (grouping like terms changing sign while changing side)
\n" ); document.write( "x=32
\n" ); document.write( "Answer: x = 32
\n" ); document.write( "Verification:Putting x=32 in (2),LHS = -58 = RHS \n" ); document.write( "

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