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

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

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

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

x = 2

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 x - 1) \cdot 3 : 9 x - 3

Expand

5 (x + 1) : 5 x + 5

9 x - 3 = 5 x + 5

Move

3

to the right side

9 x = 5 x + 8

Move

5 x

to the left side

4 x = 8

Divide both sides by

4

x = 2

x, 3 x + 8 y = 24

x, 5 x + 2 y = 4

x, 5 x + 2 y = 8

\frac{x - 4}{5} - \frac{x + 1}{6} = \frac{1}{3}

16 g - 7 g + g + 3 g - 12 g = 11

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