-7x>-2(x+15)<10
Let's take these equations in pairs
For the first pair we have
-7x > -2(x + 15)
-7x > -2x - 30 add 2x to both sides
-5x > -30 divide everything by -5 and reverse the inequality sign
x < 6
For the second pair, we have
-2(x + 15) < 10
-2x - 30 < 10 add 30 to both sides
-2x < 40 divide both sides by -2 and reverse the inequality sign
x > -20
So........the interval that solve this is (-20, 6) or, in another form → -20 < x < 6