Question

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Answer 1

Answer:

x = 11

Step-by-step explanation:

$\frac{(x - 3)}{2} = \frac{x + 1}{3}$

Multiply through by the LCM

The LCM of 2 and 3 is 6

So we have

$6 \times \frac{ x - 3}{2} = 6 \times \frac{x + 1}{3}$

Simplify

$3(x - 3) = 2(x + 1) \\ \\ 3x - 9 = 2x + 2$

Group like terms and simplify

That's

$3x - 2x = 2 + 9 \\ \\ \\ \\ x = 11$

Hope this helps you

Answer 2

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