book Maths Puzzle Numerical Ability

x-3 over x-2 + x+1 over x+3 equals 2x squared +x+1 over x squared +x-6
for some reason my solution is x= -5 and in the andswer section of my book the solution is x= 6. am I right or wrong?

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book Other Question

"A purse contains 22 coins, some of wich are dimes and the rest, quarters, Altogether, the coins are worth more than $3.40. At least how many of the coins are quarters? At most how many are dimes?
Please help me!"
Write the equation of the line passing through (-3,-5) and (3,0).


Thanks