√(2x+5) -4=3

Question

`√(2x+5) -4=3`

Answer 1

`x = 22`

Explanation:

Step 1: Add 4 to both sides

`√(2x + 5)-4+4=3+4`

`√(2x+5)=7`

Step 2: Square both sides

`(√(2x+5))^2 = 7^2`

`2x+5 = 49\\`

Step 3: Subtract 5 from both sides

`2x + 5 - 5 = 49 - 5\\`

`2x = 44`

Step 4: Divide both sides by 2

`2x / 2 = 44 / 2\\`

`x = 22`

Answer:
`x = 22`