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

The answer to (x-1)/2 = x/3 is x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-1)/2 = x/3

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

x = 3

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 1) \cdot 3 = 2 x

Expand

(x - 1) \cdot 3 : 3 x - 3

3 x - 3 = 2 x

Move

3

to the right side

3 x = 2 x + 3

Move

2 x

to the left side

x = 3

\frac{1}{3} \cdot 4

12 x^{2} - 2 = 0

\frac{12 5 ^{\frac{1}{3}}}{12 5 ^{\frac{2}{3}}}

(x - 3)^{2} = - 4

1 x^{2} + 5 x + 6 = 0