What is the answer to (12)/(sqrt(x+2))+8=10 ?

The answer to (12)/(sqrt(x+2))+8=10 is x=34

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(12)/(sqrt(x+2))+8=10

\frac{12}{x + 2} + 8 = 10

x = 34

Solution steps

\frac{12}{x + 2} + 8 = 10

Multiply both sides by

x + 2

\frac{12}{x + 2} x + 2 + 8 x + 2 = 10 x + 2

Simplify

12 + 8 x + 2 = 10 x + 2

Move

12

to the right side

8 x + 2 = 10 x + 2 - 12

Move

10 x + 2

to the left side

- 2 x + 2 = - 12

Divide both sides by

- 2

x + 2 = 6

Square both sides:

x + 2 = 36

x + 2 = 36

Solve

x + 2 = 36 : x = 34

x = 34

Verify Solutions:

x = 34

True

The solution is

x = 34

(x + 1)^{\frac{4}{3}} = 81

(x^{2} + 16)^{\frac{1}{2}} = 5

x + 6 - x - 5 = 1

4 x - 11 + 2 = x

5 x + 2 = 7

What is the answer to (12)/(sqrt(x+2))+8=10 ?
The answer to (12)/(sqrt(x+2))+8=10 is x=34
Solve for x: (12)/(sqrt(x+2))+8=10
The solution is x=34