What is the answer to (2n)/3 =(n+14)/5 ?

The answer to (2n)/3 =(n+14)/5 is n=6

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(2n)/3 =(n+14)/5

\frac{2 n}{3} = \frac{n + 14}{5}

n = 6

Solution steps

\frac{2 n}{3} = \frac{n + 14}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

2 n \cdot 5 = 3 (n + 14)

Simplify

10 n = 3 (n + 14)

Expand

3 (n + 14) : 3 n + 42

10 n = 3 n + 42

Move

3 n

to the left side

7 n = 42

Divide both sides by

7

n = 6

\frac{8 ^{6}}{8 ^{2}}

b^{2} - 4 b - 21

30 < 3 x + 6

- 9 = - 6 t + 16

12 f^{0} g^{- 9}