What is the solution set of 2x−3=5 and 5x+3>−12 ?(1 point) {}

To find the solution set for the two equations \(2x - 3 = 5\) and \(5x + 3 > -12\), we'll solve each one step by step.

1. **Solve the equation \(2x - 3 = 5\)**:
\[
2x - 3 = 5
\]
Add 3 to both sides:
\[
2x = 8
\]
Divide both sides by 2:
\[
x = 4
\]

2. **Solve the inequality \(5x + 3 > -12\)**:
\[
5x + 3 > -12
\]
Subtract 3 from both sides:
\[
5x > -15
\]
Divide both sides by 5:
\[
x > -3
\]

3. **Combine the solutions:**
The solution to the first equation gives \(x = 4\). The solution to the inequality gives \(x > -3\). Since \(4 > -3\), \(x = 4\) satisfies the inequality.

Thus, the solution set for the system of equations and inequalities is:
\[
\{4\}
\]