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

The answer to (x+2)/5 =(x-1)/3 is x= 11/2

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

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

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x + 2) \cdot 3 : 3 x + 6

Expand

5 (x - 1) : 5 x - 5

3 x + 6 = 5 x - 5

Move

6

to the right side

3 x = 5 x - 11

Move

5 x

to the left side

- 2 x = - 11

Divide both sides by

- 2

x = \frac{11}{2}

x, 4 x + 10 = 2 y - 4 x

\frac{2}{3} x = 5

y, 4 x + 5 y = 20

24 - 7 x = 10

\frac{- x}{3} = 15

What is the answer to (x+2)/5 =(x-1)/3 ?
The answer to (x+2)/5 =(x-1)/3 is x= 11/2
Solve for x: (x+2)/5 =(x-1)/3
The solution is x= 11/2