Solve for x: 10/(x - 2) = 15/(6 + x)

We have to solve

10/(x - 2) = 15/(6 + x)
 

By cross multiplying, we'll get

=> 10(6 + x) = 15(x - 2)

By solving the brackets

=> 60 + 10x = 15x - 30
 

Finally, we'll shift the variables and constants to either sides to get the value of x

=> 10x - 15x = -30 - 60
=> -5x = -90
=> x = 18


The value of x is 18.

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