What is the answer to (8-3n)/3 =(6-5n)/6 ?

The answer to (8-3n)/3 =(6-5n)/6 is n=10

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(8-3n)/3 =(6-5n)/6

\frac{8 - 3 n}{3} = \frac{6 - 5 n}{6}

n = 10

Solution steps

\frac{8 - 3 n}{3} = \frac{6 - 5 n}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(8 - 3 n) \cdot 6 = 3 (6 - 5 n)

Expand

(8 - 3 n) \cdot 6 : 48 - 18 n

Expand

3 (6 - 5 n) : 18 - 15 n

48 - 18 n = 18 - 15 n

Move

48

to the right side

- 18 n = - 15 n - 30

Move

15 n

to the left side

- 3 n = - 30

Divide both sides by

- 3

n = 10

z, x = \frac{3 yz}{4}

3 x = 66

x, 4 x - 6 y = - 12

x, - 4 x + y = - 3

\frac{3}{5} + b = \frac{4}{3}

What is the answer to (8-3n)/3 =(6-5n)/6 ?
The answer to (8-3n)/3 =(6-5n)/6 is n=10
Solve for n: (8-3n)/3 =(6-5n)/6
The solution is n=10