# How do you multiply ((a-2)/(a-3)) - 1= 3/(a+2)?

May 14, 2015

If you want to find $a$:

$\frac{\left(a - 2\right) \left(a + 2\right) - 1 \left(a - 3\right) \left(a + 2\right)}{\cancel{\left(a - 3\right) \left(a + 2\right)}} = \frac{3 \left(a - 3\right)}{\cancel{\left(a - 3\right) \left(a + 2\right)}}$

$\cancel{{a}^{2}} - 4 \cancel{- {a}^{2}} - 2 a + \cancel{3 a} + 6 = \cancel{3 a} - 9$

$- 2 a = - 11$

$a = \frac{11}{2}$

Hope it helps!