What is the answer to (n-5)/6+(n+3)/7 = 11/21 ?

The answer to (n-5)/6+(n+3)/7 = 11/21 is n=3

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(n-5)/6+(n+3)/7 = 11/21

\frac{n - 5}{6} + \frac{n + 3}{7} = \frac{11}{21}

n = 3

Solution steps

\frac{n - 5}{6} + \frac{n + 3}{7} = \frac{11}{21}

Multiply by LCM

7 (n - 5) + 6 (n + 3) = 22

Expand

7 (n - 5) + 6 (n + 3) : 13 n - 17

13 n - 17 = 22

Move

17

to the right side

13 n = 39

Divide both sides by

13

n = 3

3 (3 x - 2) = 39

8 p + 10 > - 5 p - 1

4 x^{2} (x^{2} - 81) \leq 0

x^{2} = 89

4 x^{2} - 39 x + 81

What is the answer to (n-5)/6+(n+3)/7 = 11/21 ?
The answer to (n-5)/6+(n+3)/7 = 11/21 is n=3
Solve for n: (n-5)/6+(n+3)/7 = 11/21
The solution is n=3