What is the answer to (x-3)/4 =(2x+1)/9 ?

The answer to (x-3)/4 =(2x+1)/9 is x=31

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(x-3)/4 =(2x+1)/9

\frac{x - 3}{4} = \frac{2 x + 1}{9}

x = 31

Solution steps

\frac{x - 3}{4} = \frac{2 x + 1}{9}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 3) \cdot 9 = 4 (2 x + 1)

Expand

(x - 3) \cdot 9 : 9 x - 27

Expand

4 (2 x + 1) : 8 x + 4

9 x - 27 = 8 x + 4

Move

27

to the right side

9 x = 8 x + 31

Move

8 x

to the left side

x = 31

3 g - 5 = 17

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

- 5 c + 5 c + 2 c - 6 c - 12 c = - 16

10 g - 7 g - 3 = 18

5 x - 80 = x + 60

What is the answer to (x-3)/4 =(2x+1)/9 ?
The answer to (x-3)/4 =(2x+1)/9 is x=31
Solve for x: (x-3)/4 =(2x+1)/9
The solution is x=31