What is the answer to (x-5)/3 =(x-3)/5 ?

The answer to (x-5)/3 =(x-3)/5 is x=8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-5)/3 =(x-3)/5

\frac{x - 5}{3} = \frac{x - 3}{5}

x = 8

Solution steps

\frac{x - 5}{3} = \frac{x - 3}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 5) \cdot 5 = 3 (x - 3)

Expand

(x - 5) \cdot 5 : 5 x - 25

Expand

3 (x - 3) : 3 x - 9

5 x - 25 = 3 x - 9

Move

25

to the right side

5 x = 3 x + 16

Move

3 x

to the left side

2 x = 16

Divide both sides by

2

x = 8

6 x - 12 = 8 x + 5

x, 2 x - y = \frac{3}{2}

543 + x = 5

m = ∣ - 1 ∣ + ∣ - 1 ∣ + ∣ - 1 ∣ + ∣ - 1 ∣

0 x = \frac{9}{20}, 62 = 10