Consider the inequality \( -5(x+7)<-10 \). Write an inequality representing the solution for \( \boldsymbol{x} \).

Step 1 ：-5(x+7)<-10

Step 2 ：Multiply both sides by -\frac{1}{5}

Step 3 ：x+7>2

Step 4 ：Subtract 7 from both sides

Step 5 ：x>\(-5\)