Answer:
3x - 4
---------
10(x + 3)
Explanation:
x -2 x - 3
----------- ( - ) ----------
2x + 6 5x + 15
Multiply both sides by the denominator
5(x - 2) 2( x - 3)
----------- ( - ) ----------
5(2)(x + 3) 2(5)(x + 3)
multiply the numbers together
5x - 10 2x - 6
----------- ( - ) ---------
10(x + 3) 10(x + 3)
Subtract the numberator
5x - 10 - (2x - 6)
5x - 10 - 2x + 6
5x - 2x = 3x
-10 + 6 = -4
3x - 4
3x - 4
----------
10(x + 3)
I hope this helps!