What is the value of x?
a 5
b 2.5
c 7.5
d 10

A 5

Step-by-step explanation:

Parts on the left have the same ratio as parts on the right.

... x/(x+5) = (x -2)/(x +1)

Multiplying by (x+5)(x+1), we get

... x(x +1) = (x -2)(x +5)

... x² +x = x² +3x -10 . . . . eliminate parentheses

... 0 = 2x -10 . . . . . . . . . . subtract x²+x

... 0 = x -5 . . . . . . . . . . . . divide by 2

... 5 = x . . . . . . . . . . . . . . . add 5

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