What is the answer to (x+1)/5 =(x-1)/2 ?

The answer to (x+1)/5 =(x-1)/2 is x= 7/3

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(x+1)/5 =(x-1)/2

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

x = \frac{7}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 1) \cdot 2 = 5 (x - 1)

Expand

(x + 1) \cdot 2 : 2 x + 2

Expand

5 (x - 1) : 5 x - 5

2 x + 2 = 5 x - 5

Move

2

to the right side

2 x = 5 x - 7

Move

5 x

to the left side

- 3 x = - 7

Divide both sides by

- 3

x = \frac{7}{3}

7 y - 28 = 8 y - 14

3 x + 9 = 18

3 x + 9 = 39

x, - 3 x + 2 y = - 24

35 - 5 a = - 30

What is the answer to (x+1)/5 =(x-1)/2 ?
The answer to (x+1)/5 =(x-1)/2 is x= 7/3
Solve for x: (x+1)/5 =(x-1)/2
The solution is x= 7/3