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

The answer to (x-3)/6 =(x+2)/3 is x=-7

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

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

x = - 7

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

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

Expand

6 (x + 2) : 6 x + 12

3 x - 9 = 6 x + 12

Move

9

to the right side

3 x = 6 x + 21

Move

6 x

to the left side

- 3 x = 21

Divide both sides by

- 3

x = - 7

\frac{1}{3} (n + 1) = \frac{1}{6} (3 n - 5)

y = 4^{- 3}

y = 4^{- 1}

x, 8 x + 14 y = 4

x, 3 y = x - 4