What is the answer to (4x-3)/5-(4x)/3 =(2(x-13))/(15) ?

The answer to (4x-3)/5-(4x)/3 =(2(x-13))/(15) is x= 17/10

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(4x-3)/5-(4x)/3 =(2(x-13))/(15)

\frac{4 x - 3}{5} - \frac{4 x}{3} = \frac{2 ( x - 13 )}{15}

x = \frac{17}{10}

Decimal Notation

x = 1.7

Solution steps

\frac{4 x - 3}{5} - \frac{4 x}{3} = \frac{2 ( x - 13 )}{15}

Multiply by LCM

3 (4 x - 3) - 20 x = 2 (x - 13)

Expand

3 (4 x - 3) - 20 x : - 8 x - 9

Expand

2 (x - 13) : 2 x - 26

- 8 x - 9 = 2 x - 26

Move

9

to the right side

- 8 x = 2 x - 17

Move

2 x

to the left side

- 10 x = - 17

Divide both sides by

- 10

x = \frac{17}{10}

(\frac{1}{9})^{- \frac{1}{2}}

x^{2} + 8 x + 7 \leq 0

8 - n^{3}

3 x - 3 x y

5 - 2

What is the answer to (4x-3)/5-(4x)/3 =(2(x-13))/(15) ?
The answer to (4x-3)/5-(4x)/3 =(2(x-13))/(15) is x= 17/10
Solve for x: (4x-3)/5-(4x)/3 =(2(x-13))/(15)
The solution is x= 17/10