Step 1: Add 5 to both sides -> 7|5x-3|=42
Step 2: Divide both sides by 7 -> |5x-3|=6
Step 3: Make two separate equations since we're dealing with absolute value -> 5x-3=6 and 5x-3=-6
Step 4: Solve each one
1st equation -> 5x-3=6 -> 5x=9 -> x=9/5
2nd equation -> 5x-3=-6 -> 5x=-3 -> x=-3/5
So the two solutions are x=9/5 and x=-3/5
Hope this helped and let me know in the comments if you have any questions!