**60 points** how to solve step-by-: #1) sqrt(3x+7) +1=x #2) 4 3^sqrt(3x-3)^2 +2=38

     √3x+7 = x-1

     Radical already isolated 
     √3x+7 = x-1

     Raise both sides to the second power
     (√3x+7)2 = (x-1)2

     After squaring 
     3x+7 = x2-2x+1

     Rearranged equation
     x2  - 5x  -6 = 0

     This equation has two rational roots:
       {x1, x2}={6, -1}
 

     Original equation
     √3x+7 = x-1

     Plug in 6 for  x 
      √3•(6)+7 = (6)-1

      Simplify
      √25 = 5
      Solution checks !!
     Solution is: 
      x = 6

     Original equation
     √3x+7 = x-1

     Plug in  -1 for  x 
      √3•(-1)+7 = (-1)-1

      Simplify
      √4 = -2
      Solution does not check 
      2 ≠ -2 

its 8

step-by-step explanation: