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

The answer to (n-3)/2 =(n+6)/3 is n=21

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

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

n = 21

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

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

Expand

2 (n + 6) : 2 n + 12

3 n - 9 = 2 n + 12

Move

9

to the right side

3 n = 2 n + 21

Move

2 n

to the left side

n = 21

5 x = 3 x - 8

32 = 5 - 3 t

- (7 x + 8) = - 4 x - 8

f = 3 (0)^{2} - 4 (0) + 1

x, 6 x + 3 y = - 18