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Step 1. Separate terms with roots from terms without roots
[tex]\sqrt{x+3}=5 - 4[/tex]
Step 2. Simplify 5 - 4 to 1
[tex]\sqrt{x+3} =1[/tex]
Step 3. Square both sides
[tex]x + 3 = 1[/tex]
Step 4. Subtract 3 from both side
[tex]x = 1 - 3[/tex]
Step 5. Simplify 1 - 3 to -2
[tex]x = -2[/tex]