What is the answer to (2t-9)/3 =(3t+4)/2 ?

The answer to (2t-9)/3 =(3t+4)/2 is t=-6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2t-9)/3 =(3t+4)/2

\frac{2 t - 9}{3} = \frac{3 t + 4}{2}

t = - 6

Solution steps

\frac{2 t - 9}{3} = \frac{3 t + 4}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 t - 9) \cdot 2 = 3 (3 t + 4)

Expand

(2 t - 9) \cdot 2 : 4 t - 18

Expand

3 (3 t + 4) : 9 t + 12

4 t - 18 = 9 t + 12

Move

18

to the right side

4 t = 9 t + 30

Move

9 t

to the left side

- 5 t = 30

Divide both sides by

- 5

t = - 6

2 x - 6 = 18

- 30 w + 49.5 = - 33.5 w - 48 + 13.5

x, 2 y + 8 = 4 x

5 - x = 2 x - 4

A, A X = B

What is the answer to (2t-9)/3 =(3t+4)/2 ?
The answer to (2t-9)/3 =(3t+4)/2 is t=-6
Solve for t: (2t-9)/3 =(3t+4)/2
The solution is t=-6