What is the answer to (2x)/3-(2x-5)/5 = 1/15 ?

The answer to (2x)/3-(2x-5)/5 = 1/15 is x=-7/2

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

\frac{2 x}{3} - \frac{2 x - 5}{5} = \frac{1}{15}

x = - \frac{7}{2}

Decimal Notation

x = - 3.5

Solution steps

\frac{2 x}{3} - \frac{2 x - 5}{5} = \frac{1}{15}

Multiply by LCM

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

Expand

- 3 (2 x - 5) : - 6 x + 15

10 x - 6 x + 15 = 1

Add similar elements:

10 x - 6 x = 4 x

4 x + 15 = 1

Move

15

to the right side

4 x = - 14

Divide both sides by

4

x = - \frac{7}{2}

7 x - 11 = 24

a, v^{3} + z^{3} - 3 a v z = 3

4 (2 x - 3) + 3 x = 32

3 - 2 (1 - \frac{17}{5}) = 5 + 7 (\frac{17}{5} - 3)

x, 3 x y - 2 x + 2 y = 4 + x y + 3 x + 6 y

What is the answer to (2x)/3-(2x-5)/5 = 1/15 ?
The answer to (2x)/3-(2x-5)/5 = 1/15 is x=-7/2
Solve for x: (2x)/3-(2x-5)/5 = 1/15
The solution is x=-7/2