What is the answer to 5/(x-7)=(-11)/2 ?

The answer to 5/(x-7)=(-11)/2 is x= 67/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/(x-7)=(-11)/2

\frac{5}{x - 7} = \frac{- 11}{2}

x = \frac{67}{11}

Decimal Notation

x = 6.09090 \dots

Solution steps

\frac{5}{x - 7} = \frac{- 11}{2}

Cross multiply

10 = - 11 (x - 7)

Switch sides

- 11 (x - 7) = 10

Divide both sides by

- 11

x - 7 = - \frac{10}{11}

Move

7

to the right side

x = \frac{67}{11}

Verify Solutions

Find undefined (singularity) points:

x = 7

Combine undefined points with solutions:

x = \frac{67}{11}

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

q, v = \frac{q h}{q + h}

\frac{2 x}{3 + 5 x - 3 ( x + 2 )} = 6 - x

- 13 = \frac{9}{r} + 8

x^{4} + \frac{1}{x ^{2}} = 2

What is the answer to 5/(x-7)=(-11)/2 ?
The answer to 5/(x-7)=(-11)/2 is x= 67/11
Solve for x: 5/(x-7)=(-11)/2
The solution is x= 67/11