Hello!
You can solve this algebraically
15 - 13(2x + 6) < 15 - 3(6x - 7)
Subtract 15 from both sides
-13(2x + 6) < -3(6x - 7)
Distribute the -13
-26x + -78 < -3(6x - 7)
Distribute the -2
-26x - 78 < -18x + 21
Add 18x to both sides
-8x - 78 < 21
Add 78 to both sides
-8x < 99
Divide both sides by -8
x < -12.375
The answer is -12.375
Hope this helps!