What is the answer to 3/(2x)+7= 1/5 ?

The answer to 3/(2x)+7= 1/5 is x=-15/68

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/(2x)+7= 1/5

\frac{3}{2 x} + 7 = \frac{1}{5}

x = - \frac{15}{68}

Decimal Notation

x = - 0.22058 \dots

Solution steps

\frac{3}{2 x} + 7 = \frac{1}{5}

Multiply by LCM

15 + 70 x = 2 x

Move

15

to the right side

70 x = 2 x - 15

Move

2 x

to the left side

68 x = - 15

Divide both sides by

68

x = - \frac{15}{68}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{15}{68}

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

0.0127 = \frac{x ^{2}}{( 0.267 - x )}

\frac{6}{x + 7} = \frac{4}{x + 7} + 2

0.325 = \frac{39}{b}

\frac{- g + f}{a} = h^{3}