What is the answer to (r-2)/8 =(3r+1)/6+1/3 ?

The answer to (r-2)/8 =(3r+1)/6+1/3 is r=-2

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(r-2)/8 =(3r+1)/6+1/3

\frac{r - 2}{8} = \frac{3 r + 1}{6} + \frac{1}{3}

r = - 2

Solution steps

\frac{r - 2}{8} = \frac{3 r + 1}{6} + \frac{1}{3}

Multiply by LCM

3 (r - 2) = 4 (3 r + 1) + 8

Expand

3 (r - 2) : 3 r - 6

Expand

4 (3 r + 1) + 8 : 12 r + 12

3 r - 6 = 12 r + 12

Move

6

to the right side

3 r = 12 r + 18

Move

12 r

to the left side

- 9 r = 18

Divide both sides by

- 9

r = - 2

13 + \frac{6}{6}

\frac{\frac{5}{3}}{( - \frac{6}{7} )}

3 x (x + 2) = 4

3 x^{2} + 16 = 2

4 x^{4} y + 10 x^{3} y - 36 x^{2} y - 90 x y

What is the answer to (r-2)/8 =(3r+1)/6+1/3 ?
The answer to (r-2)/8 =(3r+1)/6+1/3 is r=-2
Solve for r: (r-2)/8 =(3r+1)/6+1/3
The solution is r=-2