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

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

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

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

x = - \frac{17}{3}

Decimal Notation

x = - 5.66666 \dots

Solution steps

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

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

Combine undefined points with solutions:

x = - \frac{17}{3}

2 (x - 5)^{- 1} + \frac{1}{x} = 0

\frac{3}{m - 1} = \frac{6}{3 m + 8}

\frac{2 x}{x + 9} = \frac{2 x - 9}{x}

y, x = \frac{y}{y + 1}

\frac{6 x + 24}{x + 4} = 5

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