What is the answer to (3n-7)/6 =(2n+5)/3 ?

The answer to (3n-7)/6 =(2n+5)/3 is n=-17

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(3n-7)/6 =(2n+5)/3

\frac{3 n - 7}{6} = \frac{2 n + 5}{3}

n = - 17

Solution steps

\frac{3 n - 7}{6} = \frac{2 n + 5}{3}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(3 n - 7) \cdot 3 = 6 (2 n + 5)

Expand

(3 n - 7) \cdot 3 : 9 n - 21

Expand

6 (2 n + 5) : 12 n + 30

9 n - 21 = 12 n + 30

Move

21

to the right side

9 n = 12 n + 51

Move

12 n

to the left side

- 3 n = 51

Divide both sides by

- 3

n = - 17

x^{2} + 1.1 x - 0.3 = 0

2 π 6

x^{2} - 3 x > 3 x - 9

2 x^{2} + 14 x = 0

16 x \leq x^{3}

What is the answer to (3n-7)/6 =(2n+5)/3 ?
The answer to (3n-7)/6 =(2n+5)/3 is n=-17
Solve for n: (3n-7)/6 =(2n+5)/3
The solution is n=-17