find the range of all real values of x for which |3-5x| <7-8x

I sove it considering two cases:

1) (3-5x) is positive

=> 3-5x<7-8x

=> x<4/3

2) (3-5x) is negative 

=> -(3-5x)<7-8x

=> x<10/13

overlapping both solution we get range of x is (-infinity,10/3)

If you find any error or need further clarification feel free to comment below