What is the answer to (x+2)/5 =(3x-1)/4 ?

The answer to (x+2)/5 =(3x-1)/4 is x= 13/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x+2)/5 =(3x-1)/4

\frac{x + 2}{5} = \frac{3 x - 1}{4}

x = \frac{13}{11}

Decimal Notation

x = 1.18181 \dots

Solution steps

\frac{x + 2}{5} = \frac{3 x - 1}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 2) \cdot 4 = 5 (3 x - 1)

Expand

(x + 2) \cdot 4 : 4 x + 8

Expand

5 (3 x - 1) : 15 x - 5

4 x + 8 = 15 x - 5

Move

8

to the right side

4 x = 15 x - 13

Move

15 x

to the left side

- 11 x = - 13

Divide both sides by

- 11

x = \frac{13}{11}

12 - x = 7

x - 3 + 6 = 2 x + x - 11

21 = - 16 + n

x, (2 - x - y) = (\frac{3}{2} - y - \frac{1}{2} x)

- 5 x - 15 + x + 33 = - 8 + 6 x - 14

What is the answer to (x+2)/5 =(3x-1)/4 ?
The answer to (x+2)/5 =(3x-1)/4 is x= 13/11
Solve for x: (x+2)/5 =(3x-1)/4
The solution is x= 13/11