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

The answer to (x+3)/2 =(x-1)/3 is x=-11

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

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

x = - 11

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x + 3) \cdot 3 : 3 x + 9

Expand

2 (x - 1) : 2 x - 2

3 x + 9 = 2 x - 2

Move

9

to the right side

3 x = 2 x - 11

Move

2 x

to the left side

x = - 11

x + \frac{1}{6} = 4 - 2 x

- 3 x + 9 = 2 x + 4

\frac{7}{9} x + 2 = \frac{5}{6}

5 x - 15 = 4 x + 16

- 14 = 7 w + 2 w + 8.5

What is the answer to (x+3)/2 =(x-1)/3 ?
The answer to (x+3)/2 =(x-1)/3 is x=-11
Solve for x: (x+3)/2 =(x-1)/3
The solution is x=-11