What is the answer to (x+2)/3 =(x-1)/5 ?

The answer to (x+2)/3 =(x-1)/5 is x=-13/2

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(x+2)/3 =(x-1)/5

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

x = - \frac{13}{2}

Decimal Notation

x = - 6.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 2) \cdot 5 = 3 (x - 1)

Expand

(x + 2) \cdot 5 : 5 x + 10

Expand

3 (x - 1) : 3 x - 3

5 x + 10 = 3 x - 3

Move

10

to the right side

5 x = 3 x - 13

Move

3 x

to the left side

2 x = - 13

Divide both sides by

2

x = - \frac{13}{2}

n - 3 = 6

- 24 - 10 k = - 8 (k + 4) - 2 k

30 x = 15

\frac{1}{3} x = x - 4

n - 8 = 5

What is the answer to (x+2)/3 =(x-1)/5 ?
The answer to (x+2)/3 =(x-1)/5 is x=-13/2
Solve for x: (x+2)/3 =(x-1)/5
The solution is x=-13/2