Respuesta :

Answer:

x=11

Step-by-step explanation:

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

multiply (x-3)(3) and 2(x+1)

3(x-3)=2(x+1)

3x-9=2x+2

Get the variables on one side and numbers on another

3x-2x=3+9

x=11

Answer:

x = 11

Step-by-step explanation:

[tex] \frac{(x - 3)}{2} = \frac{x + 1}{3} [/tex]

Multiply through by the LCM

The LCM of 2 and 3 is 6

So we have

[tex]6 \times \frac{ x - 3}{2} = 6 \times \frac{x + 1}{3} [/tex]

Simplify

[tex]3(x - 3) = 2(x + 1) \\ \\ 3x - 9 = 2x + 2[/tex]

Group like terms and simplify

That's

[tex]3x - 2x = 2 + 9 \\ \\ \\ \\ x = 11[/tex]

Hope this helps you