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

The answer to (x-1)/3 =(x+1)/5 is x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{x - 1}{3} = \frac{x + 1}{5}

x = 4

Solution steps

\frac{x - 1}{3} = \frac{x + 1}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 1) \cdot 5 = 3 (x + 1)

Expand

(x - 1) \cdot 5 : 5 x - 5

Expand

3 (x + 1) : 3 x + 3

5 x - 5 = 3 x + 3

Move

5

to the right side

5 x = 3 x + 8

Move

3 x

to the left side

2 x = 8

Divide both sides by

2

x = 4

(x - 3)^{2} + (x + 1)^{2} = (x - 2)^{2} + (x + 3)^{2}

2 (h - 2) \leq - 2 (1 - h)

\frac{21}{3}

\frac{5}{7} \cdot 6

5^{\frac{1}{2}} + 2^{6}