What is the answer to (x-4)/2 =(2x+1)/3 ?

The answer to (x-4)/2 =(2x+1)/3 is x=-14

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(x-4)/2 =(2x+1)/3

\frac{x - 4}{2} = \frac{2 x + 1}{3}

x = - 14

Solution steps

\frac{x - 4}{2} = \frac{2 x + 1}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 4) \cdot 3 = 2 (2 x + 1)

Expand

(x - 4) \cdot 3 : 3 x - 12

Expand

2 (2 x + 1) : 4 x + 2

3 x - 12 = 4 x + 2

Move

12

to the right side

3 x = 4 x + 14

Move

4 x

to the left side

- x = 14

Divide both sides by

- 1

x = - 14

\frac{e ^{7 i} - e ^{- 7 i}}{2 i}

1 - \frac{1}{6}

5 x^{2} + 9 x + 2 = 0

24 = 1.25 (1 + \frac{y}{1})

4 - n^{2}

What is the answer to (x-4)/2 =(2x+1)/3 ?
The answer to (x-4)/2 =(2x+1)/3 is x=-14
Solve for x: (x-4)/2 =(2x+1)/3
The solution is x=-14