To solve the inequality [tex]\(5 < 2x + 3\)[/tex], follow these steps:
Step 1: Subtract 3 from both sides of the inequality.
[tex]\[
5 - 3 < 2x + 3 - 3
\][/tex]
This simplifies to:
[tex]\[
2 < 2x
\][/tex]
Step 2: Subtract [tex]\(2x\)[/tex] from both sides of the inequality.
[tex]\[
2 - 2x < 0
\][/tex]
Step 3: Divide both sides of the inequality by the coefficient of [tex]\(x\)[/tex] (which is 2).
[tex]\[
\frac{2}{2} < \frac{2x}{2}
\][/tex]
This simplifies to:
[tex]\[
1 < x
\][/tex]
Therefore, the missing step is:
[tex]\[
\boxed{\text{Subtract } 2x \text{ from both sides of the inequality.}}
\][/tex]
