What is the answer to (x+1)/5 =(3x-9)/2 ?

The answer to (x+1)/5 =(3x-9)/2 is x= 47/13

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x+1)/5 =(3x-9)/2

\frac{x + 1}{5} = \frac{3 x - 9}{2}

x = \frac{47}{13}

Decimal Notation

x = 3.61538 \dots

Solution steps

\frac{x + 1}{5} = \frac{3 x - 9}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 1) \cdot 2 = 5 (3 x - 9)

Expand

(x + 1) \cdot 2 : 2 x + 2

Expand

5 (3 x - 9) : 15 x - 45

2 x + 2 = 15 x - 45

Move

2

to the right side

2 x = 15 x - 47

Move

15 x

to the left side

- 13 x = - 47

Divide both sides by

- 13

x = \frac{47}{13}

t, l = p r t

n^{2} + 5 lo g_{10} (n) = o (n^{2})

m, d = n + 7 m

x - 9 = \frac{2}{3} (x + 1)

7 = \frac{2 c}{5} + 3

What is the answer to (x+1)/5 =(3x-9)/2 ?
The answer to (x+1)/5 =(3x-9)/2 is x= 47/13
Solve for x: (x+1)/5 =(3x-9)/2
The solution is x= 47/13