Respuesta :

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]

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