What is the answer to 1/(2+x)= 21/2 ?

The answer to 1/(2+x)= 21/2 is x=-40/21

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1/(2+x)= 21/2

\frac{1}{2 + x} = \frac{21}{2}

x = - \frac{40}{21}

Decimal Notation

x = - 1.90476 \dots

Solution steps

\frac{1}{2 + x} = \frac{21}{2}

Cross multiply

2 = (2 + x) \cdot 21

Switch sides

(2 + x) \cdot 21 = 2

Divide both sides by

21

2 + x = \frac{2}{21}

Move

2

to the right side

x = - \frac{40}{21}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{40}{21}

(x + 2) \frac{1}{x + 2} = 1

t, \frac{V t}{t} = p

\frac{5}{x} = \frac{12}{3}

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

\frac{2}{K} - 3 = \frac{3}{4}