Pls help solve this problem

Answer:
x = [tex]\frac{15}{11}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] x - [tex]\frac{1}{3}[/tex] x = x - 1
multiply through by 15 ( the LCM of 5 and 3 ) to clear the fractions
9x - 5x = 15x - 15
4x = 15x - 15 ( subtract 15x from both sides )
- 11x = - 15 ( divide both sides by - 11 )
x = [tex]\frac{-15}{-11}[/tex] = [tex]\frac{15}{11}[/tex]