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

The answer to -1/(x+1)= 5/(x+2) is x=-7/6

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-1/(x+1)= 5/(x+2)

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

x = - \frac{7}{6}

Decimal Notation

x = - 1.16666 \dots

Solution steps

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

Cross multiply

- x - 2 = 5 x + 5

Move

2

to the right side

- x = 5 x + 7

Move

5 x

to the left side

- 6 x = 7

Divide both sides by

- 6

x = - \frac{7}{6}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = - 2

Combine undefined points with solutions:

x = - \frac{7}{6}

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

0 = \frac{x ^{2}}{x ^{2} - 4}

7.8 x + 5.1 = \frac{x ^{2}}{7.8 x}

\frac{x + m}{x - n} = \frac{n + x}{m + x}

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

What is the answer to -1/(x+1)= 5/(x+2) ?
The answer to -1/(x+1)= 5/(x+2) is x=-7/6
Solve for x: -1/(x+1)= 5/(x+2)
The solution is x=-7/6