What is the answer to 3(2/x+1)= 7/2 ?

The answer to 3(2/x+1)= 7/2 is x=12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3(2/x+1)= 7/2

3 (\frac{2}{x} + 1) = \frac{7}{2}

x = 12

Solution steps

3 (\frac{2}{x} + 1) = \frac{7}{2}

Multiply both sides by

2

6 (\frac{2}{x} + 1) = 7

Expand

6 (\frac{2}{x} + 1) : \frac{12}{x} + 6

\frac{12}{x} + 6 = 7

Move

6

to the right side

\frac{12}{x} = 1

Multiply both sides by

x

12 = x

Switch sides

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 12

x, 0 = \frac{2}{x - 5} + 3

30 = (\frac{361}{4 x - 20})

\frac{y - 1}{7 - y} = \frac{4}{y}

(x) = 1 (x) + 60 + \frac{10240}{x}

\frac{3}{4 x + 12} = 126