Equation through (5,7) parallel to the line 

7x + 5y = 12

5y = 7x + 12 

y = \(\frac{-7x}{5} + \frac{12}{5}\)

Gradient = \(\frac{-7}{5}\) 

Required equation = \(\frac{y - 7}{x - 5} = \frac{-7}{5}\)

i.e. 5y - 35 = -7x + 35

5y + 7x = 70