You can put this solution on YOUR website! Multiply everything by the LCD of the fractions, which is 5(x + 2) [put the 5x + 10 in factored form to make it easier]:
5(x + 2)( + =
The denominators of each fraction now cancel out:
x + 5(x - 3) = 7(x + 2)
Apply the distributive property:
x + 5x - 15 = 7x + 14
Combine like terms:
6x - 15 = 7x + 14
Get variables to one side and constants to the other side:
6x - 7x = 14 + 15 [subtract 7x from both sides and add 15 to both sides]
-x = 29
Divide both sides by -1:
x = -29
Check for extraneous solutions [denominaotrs can't = 0]:
x + 2 = -29 + 2 = -27. Since this isn't = 0, the solution x = -29 is good
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