What is the answer to 7/(8+3x)= 24/4 ?

The answer to 7/(8+3x)= 24/4 is x=-41/18

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7/(8+3x)= 24/4

\frac{7}{8 + 3 x} = \frac{24}{4}

x = - \frac{41}{18}

Decimal Notation

x = - 2.27777 \dots

Solution steps

\frac{7}{8 + 3 x} = \frac{24}{4}

Cross multiply

28 = (8 + 3 x) \cdot 24

Switch sides

(8 + 3 x) \cdot 24 = 28

Divide both sides by

24

8 + 3 x = \frac{7}{6}

Move

8

to the right side

3 x = - \frac{41}{6}

Divide both sides by

3

x = - \frac{41}{18}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{8}{3}

Combine undefined points with solutions:

x = - \frac{41}{18}

\frac{20}{x} = 10

\frac{a - b}{b} = \frac{a - x}{x}, a

1 - \frac{2}{6 y} = \frac{3}{12 y}

\frac{20}{x} = 40

\frac{1}{329.628} = \frac{2 π}{b}