Answer:
[tex]x = 22[/tex]
Step-by-step explanation:
Step 1: Add 4 to both sides
[tex]\sqrt{2x + 5}-4+4=3+4[/tex]
[tex]\sqrt{2x+5}=7[/tex]
Step 2: Square both sides
[tex](\sqrt{2x+5})^2 = 7^2[/tex]
[tex]2x+5 = 49\\[/tex]
Step 3: Subtract 5 from both sides
[tex]2x + 5 - 5 = 49 - 5\\[/tex]
[tex]2x = 44[/tex]
Step 4: Divide both sides by 2
[tex]2x / 2 = 44 / 2\\[/tex]
[tex]x = 22[/tex]
Answer: [tex]x = 22[/tex]
