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

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

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

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

x = \frac{11}{2}

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 1) \cdot 5 : 5 x - 5

Expand

3 (x + 2) : 3 x + 6

5 x - 5 = 3 x + 6

Move

5

to the right side

5 x = 3 x + 11

Move

3 x

to the left side

2 x = 11

Divide both sides by

2

x = \frac{11}{2}

2 (x - 5) = 30

8 b + 2 = 3 b + 12

g (- 3) = 2 (- 3)^{2} - 5

8 + 9 p = 9 p - 7

\frac{h}{2} + 7 = 10

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