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

The answer to 7/(x+2)= 5/(x-5) is x= 45/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{45}{2}

Decimal Notation

x = 22.5

Solution steps

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

Cross multiply

7 x - 35 = 5 x + 10

Move

35

to the right side

7 x = 5 x + 45

Move

5 x

to the left side

2 x = 45

Divide both sides by

2

x = \frac{45}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 5

Combine undefined points with solutions:

x = \frac{45}{2}

1 + \frac{4 x}{x - 8} = \frac{7}{x - 8}

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

\frac{a ^{m}}{a ^{n}} = a^{m - n}

\frac{3}{x + 5} = \frac{2}{5}

\frac{1}{x + 4} + 5 = \frac{26}{x + 4}

What is the answer to 7/(x+2)= 5/(x-5) ?
The answer to 7/(x+2)= 5/(x-5) is x= 45/2
Solve for x: 7/(x+2)= 5/(x-5)
The solution is x= 45/2