What is the answer to 2/(x+5)= 5/(x+4) ?

The answer to 2/(x+5)= 5/(x+4) is x=-17/3

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2/(x+5)= 5/(x+4)

\frac{2}{x + 5} = \frac{5}{x + 4}

x = - \frac{17}{3}

Decimal Notation

x = - 5.66666 \dots

Solution steps

\frac{2}{x + 5} = \frac{5}{x + 4}

Cross multiply

2 x + 8 = 5 x + 25

Move

8

to the right side

2 x = 5 x + 17

Move

5 x

to the left side

- 3 x = 17

Divide both sides by

- 3

x = - \frac{17}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = - 4

Combine undefined points with solutions:

x = - \frac{17}{3}

\frac{12 ( 2200 )}{2200 + x} = 1.96

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

\frac{16}{y + 7} = \frac{4}{3}

30 = \frac{6 ( x - 1 )}{5 + 2 x}

\frac{100}{360} = \frac{5 π}{x}

What is the answer to 2/(x+5)= 5/(x+4) ?
The answer to 2/(x+5)= 5/(x+4) is x=-17/3
Solve for x: 2/(x+5)= 5/(x+4)
The solution is x=-17/3