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

The answer to (2h+1)/5 = h/3 is h=-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2h+1)/5 = h/3

\frac{2 h + 1}{5} = \frac{h}{3}

h = - 3

Solution steps

\frac{2 h + 1}{5} = \frac{h}{3}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(2 h + 1) \cdot 3 = 5 h

Expand

(2 h + 1) \cdot 3 : 6 h + 3

6 h + 3 = 5 h

Move

3

to the right side

6 h = 5 h - 3

Move

5 h

to the left side

h = - 3

3 (x - 5) - x = 5 (1 - x) + 2

3 x + 2 = 2 x + 4

\frac{3}{2} (3 x - 7) + 3 x = \frac{3}{2} (8 x + 2)

- 7 x - 1 = - 8