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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{3 ( x - 5 )}{2} = \frac{2 ( x + 5 )}{3}

x = 13

Solution steps

\frac{3 ( x - 5 )}{2} = \frac{2 ( x + 5 )}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

9 (x - 5) = 4 (x + 5)

Expand

9 (x - 5) : 9 x - 45

Expand

4 (x + 5) : 4 x + 20

9 x - 45 = 4 x + 20

Move

45

to the right side

9 x = 4 x + 65

Move

4 x

to the left side

5 x = 65

Divide both sides by

5

x = 13

(\frac{2}{2})^{4}

x^{2} = 20 - x

w^{6} - w^{4}

5 y^{2} - 7 y - 6

7 \cdot 5

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