What is the answer to (x-1)/3 =(3x+1)/(12) ?

The answer to (x-1)/3 =(3x+1)/(12) is x=5

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(x-1)/3 =(3x+1)/(12)

\frac{x - 1}{3} = \frac{3 x + 1}{12}

x = 5

Solution steps

\frac{x - 1}{3} = \frac{3 x + 1}{12}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 1) \cdot 12 = 3 (3 x + 1)

Expand

(x - 1) \cdot 12 : 12 x - 12

Expand

3 (3 x + 1) : 9 x + 3

12 x - 12 = 9 x + 3

Move

12

to the right side

12 x = 9 x + 15

Move

9 x

to the left side

3 x = 15

Divide both sides by

3

x = 5

15 x y^{3} (9 x^{5} y^{4})

2 x^{3} + 5 x^{2} < 8 x + 20

6 k^{2} + 11 k - 46 = 0

(\frac{1}{2})^{4} \cdot (\frac{1}{2})^{2}

12 x^{2} + 19 x + 4

What is the answer to (x-1)/3 =(3x+1)/(12) ?
The answer to (x-1)/3 =(3x+1)/(12) is x=5
Solve for x: (x-1)/3 =(3x+1)/(12)
The solution is x=5