What is the answer to sqrt(9+x)-5=(2x+1)/3 ?

The answer to sqrt(9+x)-5=(2x+1)/3 is x=-5

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sqrt(9+x)-5=(2x+1)/3

9 + x - 5 = \frac{2 x + 1}{3}

x = - 5

Solution steps

9 + x - 5 = \frac{2 x + 1}{3}

Multiply both sides by

3

9 + x \cdot 3 - 5 \cdot 3 = \frac{2 x + 1}{3} \cdot 3

Simplify

3 9 + x - 15 = 2 x + 1

Remove square roots

81 + 9 x = 4 x^{2} + 64 x + 256

Solve

81 + 9 x = 4 x^{2} + 64 x + 256 : x = - 5, x = - \frac{35}{4}

x = - 5, x = - \frac{35}{4}

Verify Solutions:

x = - 5

True

, x = - \frac{35}{4}

False

The solution is

x = - 5

x + 5 = 12

4 x - 7 - 3 = - 2

7 x + 1 = 2 x + 4

\frac{2 x - 2}{x - 5} = 1

\frac{1}{x} = \frac{1}{2}

What is the answer to sqrt(9+x)-5=(2x+1)/3 ?
The answer to sqrt(9+x)-5=(2x+1)/3 is x=-5
Solve for x: sqrt(9+x)-5=(2x+1)/3
The solution is x=-5