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

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

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

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

x = - 2

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

3 (3 x + 2) : 9 x + 6

x \cdot 6 = 9 x + 6

Move

9 x

to the left side

- 3 x = 6

Divide both sides by

- 3

x = - 2

2 n - 7 = 5 n - 10

12 (2 x + 11) = 12 (2 x + 12)

4 d - 3 = - 15

\frac{p}{3} = \frac{2}{6}

a, q a + r^{2} a = m