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

The answer to (3x-1)/5 =(2x+1)/3 is x=-8

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

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

x = - 8

Solution steps

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

Expand

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

Expand

5 (2 x + 1) : 10 x + 5

9 x - 3 = 10 x + 5

Move

3

to the right side

9 x = 10 x + 8

Move

10 x

to the left side

- x = 8

Divide both sides by

- 1

x = - 8

x, 2 y - 4 x = 2

428 = 324 (4 - 3 x)

b x - 9 = a

5 x - 4 = 3 (2 - x) - 6

x, p x + 12 = 17

What is the answer to (3x-1)/5 =(2x+1)/3 ?
The answer to (3x-1)/5 =(2x+1)/3 is x=-8
Solve for x: (3x-1)/5 =(2x+1)/3
The solution is x=-8