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

The answer to x/6 =(x+6)/3 is x=-12

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x/6 =(x+6)/3

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

x = - 12

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

x \cdot 3 = 6 (x + 6)

Expand

6 (x + 6) : 6 x + 36

x \cdot 3 = 6 x + 36

Move

6 x

to the left side

- 3 x = 36

Divide both sides by

- 3

x = - 12

t, \frac{d v}{d t} - p v = - g

y, x = \frac{4}{7} (y + z)

7 k - 6 - 2 k = 3 k - 8 + 3 k

- 3 x + 0 = 0

2 m + 3 = m + 5