What is the answer to (x-9)/2 =(x+1)/3 ?

The answer to (x-9)/2 =(x+1)/3 is x=29

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(x-9)/2 =(x+1)/3

\frac{x - 9}{2} = \frac{x + 1}{3}

x = 29

Solution steps

\frac{x - 9}{2} = \frac{x + 1}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 9) \cdot 3 : 3 x - 27

Expand

2 (x + 1) : 2 x + 2

3 x - 27 = 2 x + 2

Move

27

to the right side

3 x = 2 x + 29

Move

2 x

to the left side

x = 29

x, 4 x + 2 y = 14

15365 = 36 m + 200

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