What is the answer to m/3 =(5m+1)/6 ?

The answer to m/3 =(5m+1)/6 is m=-1/3

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m/3 =(5m+1)/6

\frac{m}{3} = \frac{5 m + 1}{6}

m = - \frac{1}{3}

Decimal Notation

m = - 0.33333 \dots

Solution steps

\frac{m}{3} = \frac{5 m + 1}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

m \cdot 6 = 3 (5 m + 1)

Expand

3 (5 m + 1) : 15 m + 3

m \cdot 6 = 15 m + 3

Move

15 m

to the left side

- 9 m = 3

Divide both sides by

- 9

m = - \frac{1}{3}

- 2 (x + 6) = - 4 x + 2 x - 12

x, 24 = 4 x + 6 y

- 6 x - 2 = 40

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