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

The answer to (3x-5)/2 =(3(3x-1))/5 is x=-19/3

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

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

x = - \frac{19}{3}

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

(3 x - 5) \cdot 5 = 6 (3 x - 1)

Expand

(3 x - 5) \cdot 5 : 15 x - 25

Expand

6 (3 x - 1) : 18 x - 6

15 x - 25 = 18 x - 6

Move

25

to the right side

15 x = 18 x + 19

Move

18 x

to the left side

- 3 x = 19

Divide both sides by

- 3

x = - \frac{19}{3}

\frac{x - 6}{2} = 8

7 x - 4 x = 21

(x^{\frac{2}{3}} y^{- \frac{1}{6}})^{- 12}

6 + 2

6 - \frac{1}{6}

What is the answer to (3x-5)/2 =(3(3x-1))/5 ?
The answer to (3x-5)/2 =(3(3x-1))/5 is x=-19/3
Solve for x: (3x-5)/2 =(3(3x-1))/5
The solution is x=-19/3