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

The answer to (3x-1)/5-(x+2)/(15)= 1/3+x is x=-10/7

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

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

x = - \frac{10}{7}

Decimal Notation

x = - 1.42857 \dots

Solution steps

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

Multiply by LCM

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

Expand

3 (3 x - 1) - (x + 2) : 8 x - 5

8 x - 5 = 5 + 15 x

Move

5

to the right side

8 x = 15 x + 10

Move

15 x

to the left side

- 7 x = 10

Divide both sides by

- 7

x = - \frac{10}{7}

v^{2} - 4 v + 4 = 0

3 \cdot 1 0^{- 2}

\frac{1}{3} \cdot \frac{3}{2}

2 x^{2} = 5 x + 12

5 (- 3 + 3 x) = 4 x - 26

What is the answer to (3x-1)/5-(x+2)/(15)= 1/3+x ?
The answer to (3x-1)/5-(x+2)/(15)= 1/3+x is x=-10/7
Solve for x: (3x-1)/5-(x+2)/(15)= 1/3+x
The solution is x=-10/7