What is the answer to (m-5)/(m-2)=-2 ?

The answer to (m-5)/(m-2)=-2 is m=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(m-5)/(m-2)=-2

\frac{m - 5}{m - 2} = - 2

m = 3

Solution steps

\frac{m - 5}{m - 2} = - 2

Multiply both sides by

m - 2

m - 5 = - 2 (m - 2)

Expand

- 2 (m - 2) : - 2 m + 4

m - 5 = - 2 m + 4

Move

5

to the right side

m = - 2 m + 9

Move

2 m

to the left side

3 m = 9

Divide both sides by

3

m = 3

Verify Solutions

Find undefined (singularity) points:

m = 2

Combine undefined points with solutions:

m = 3

\frac{1700}{x} = \frac{200}{10}

\frac{10}{2 x - 1} = \frac{12}{x + 4}

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

\frac{40}{x} = - 5

\frac{1}{x} - \frac{3}{4} = 2