Verified Answer :

KatelynRuckert17

Let's solve your equation step-by-step .2m−6=3m−14
Step 1: Subtract 3m from both sides.2m−6−3m=3m−14−3m−m−6=−14
Step 2: Add 6 to both sides.−m−6+6=−14+6−m=−8
Step 3: Divide both sides by -1.−m−1=−8−1m=8
Answer:m=8
  1. Isolate a square root on the left hand side. 
    √2m-6=√3m-14

    2. Eliminate the radical on the left hand side . Raise both sides to the second power
         (√2m-6)2 = (√3m-14)2

    3.     Solve the linear equation :     Rearranged equation
         m -8 = 0

         Add  8  to both sides
         m = 8

         A possible solution is :
         m = 8
    4.    Check that the solution is correct :     Original equation
         √2m-6 = √3m-14

         Plug in 8 for  m 
          √2•(8)-6 = √3•(8)-14

          Simplify
          √10 = 3.162
              Solution checks !!
         Solution is: 
          m = 8

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