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You can put this solution on YOUR website!
x+6/x+5=x+4/x-3----(1)
\n" ); document.write( "Mulltiplying by (x+5)(x-3) (which is the lcm of (x+5) and (x-3) )
\n" ); document.write( "(x+6)(x-3) = (x+4)(x+5)
\n" ); document.write( "x(x-3)+6(x-3) = x(x+5)+4(x+5)
\n" ); document.write( "x^2-3x+6x-18 = x^2+5x+4x+20
\n" ); document.write( "x^2+3x-18 = x^2+9x+20
\n" ); document.write( "(x^2-x^2) +(3x-9x) -18-20 = 0 (grouping like terms)
\n" ); document.write( "0-6x-38 =0
\n" ); document.write( "-6x = 38
\n" ); document.write( "x = 38/(-6) = -19/3
\n" ); document.write( "Answer: x =-19/3
\n" ); document.write( "Verification: x= -19/3 in (1)
\n" ); document.write( "LHS = [(-19/3)+6]/[(-19/3)+5] = [(-19+18)/3]/[(-19+15)/3]= (-1)/(-4) = 1/4
\n" ); document.write( "RHS = [(-19/3)+4]/[(-19/3)-3] = [(-19+12)/3]/[(-19-9)/3]= (-7)/(-28) = 1/4=LHS
\n" ); document.write( "Therefore our answer is correct
\n" ); document.write( " \n" ); document.write( "