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

The answer to (x+1)/2 =(x-1)/3 is x=-5

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

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

x = - 5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x + 1) \cdot 3 : 3 x + 3

Expand

2 (x - 1) : 2 x - 2

3 x + 3 = 2 x - 2

Move

3

to the right side

3 x = 2 x - 5

Move

2 x

to the left side

x = - 5

4 (2 r + 8) = 88

45 = 6 d - 45

\frac{2 x + 4}{3} = \frac{5 x - 1}{2}

y, 4 x - 3 y = 6

f = 3 (2) + 2