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

The answer to (x+3)/6 =(x-6)/3 is x=15

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

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

x = 15

Solution steps

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

Expand

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

Expand

6 (x - 6) : 6 x - 36

3 x + 9 = 6 x - 36

Move

9

to the right side

3 x = 6 x - 45

Move

6 x

to the left side

- 3 x = - 45

Divide both sides by

- 3

x = 15

x^{3} + 4 x \leq 0

(\frac{9}{9})^{3}

3 v^{2} - 4 v - 7

\frac{2}{3} (\frac{x + 1}{5}) = \frac{3}{4} (\frac{x - 6}{3})

\frac{2 \cdot 3}{4}