Please solve this problem by factoring

Answer:
x is equal to 5
Step-by-step explanation:
[tex]\frac{5}{2x - 2} =\frac{15}{x^2 - 1} \\\\\frac{5}{2(x - 1)} =\frac{15}{(x + 1)(x - 1)} \\\\\frac{5}{2} =\frac{15}{(x + 1)} \\\\\frac{1}{2} =\frac{3}{(x + 1)} \\\\x + 1 = 6\\\\x = 5[/tex]