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

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

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

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

x = 5

Solution steps

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

Multiply by LCM

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

Expand

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

15 x - 10 x + 5 = 3 (3 x - 5)

Add similar elements:

15 x - 10 x = 5 x

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

Expand

3 (3 x - 5) : 9 x - 15

5 x + 5 = 9 x - 15

Move

5

to the right side

5 x = 9 x - 20

Move

9 x

to the left side

- 4 x = - 20

Divide both sides by

- 4

x = 5

3 x (x - 3) + 5 (x + 7) - x (x + 1) - 2 (x^{2} + 7) + 4 = 0

\frac{13}{2} - 5

\frac{a - b}{b - a}

\frac{1}{- \frac{1}{3}}

5 - \frac{3}{4} x \leq - 4

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