Solve the following inequality. \[ 5 x+3>-5 \]

Step 1 ：\(5x + 3 > -5\)

Step 2 ：\(5x + 3 - 3 > -5 - 3\)

Step 3 ：\(5x > -8\)

Step 4 ：\(\frac{5x}{5} > \frac{-8}{5}\)

Step 5 ：\(x > -1.6\)

Step 6 ：\(5(-1.5) + 3 = -7.5 + 3 = -4.5\)

Step 7 ：\(-4.5 > -5\)

Step 8 ：\(\boxed{x > -1.6}\)