What is the answer to (2x-3)/3 =(13+3x)/2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2x-3)/3 =(13+3x)/2

\frac{2 x - 3}{3} = \frac{13 + 3 x}{2}

x = - 9

Solution steps

\frac{2 x - 3}{3} = \frac{13 + 3 x}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x - 3) \cdot 2 = 3 (13 + 3 x)

Expand

(2 x - 3) \cdot 2 : 4 x - 6

Expand

3 (13 + 3 x) : 39 + 9 x

4 x - 6 = 39 + 9 x

Move

6

to the right side

4 x = 9 x + 45

Move

9 x

to the left side

- 5 x = 45

Divide both sides by

- 5

x = - 9

\frac{x}{24} = \frac{5}{2}

- 2 (b + 5) = - 6

y, 2 x + 4 y = 16

\frac{y}{4} + 6 = 5

10 t = 11

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