Solve the equation:

12=19-√3x-11

The answer is x=20. You isolate the square root. Eliminate the radical on the left handside. And then solve it!

Step 1 : Isolate the square root on the left hand side:

Original equation

12 = 19-√3x-11

Isolate

√3x-11 = - 12+19

Tidy up

√3x-11 = 7

Step 2 : Eliminate the radical on the left hand side:

Raise both sides to the second power

(√3x-11) 2 = (7) 2

After squaring

3x-11 = 49

Step 3 : Solve the linear equation:

Rearranged equation

3x - 60 = 0

Add 60 to both sides

3x = 60

Divide both sides by 3

A possible solution is:

x = 20

Step 4 : Check that the solution is correct:

Original equation, root isolated

√3x-11 = 7

Plug in 20 for x

√3• (20) - 11 = 7

Simplify

√49 = 7

Solution is:

x = 20

One solution was found : x = 20