What is the answer to (4x-5)/2 =(7x-3)/9 ?

The answer to (4x-5)/2 =(7x-3)/9 is x= 39/22

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(4x-5)/2 =(7x-3)/9

\frac{4 x - 5}{2} = \frac{7 x - 3}{9}

x = \frac{39}{22}

Solution steps

\frac{4 x - 5}{2} = \frac{7 x - 3}{9}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 x - 5) \cdot 9 = 2 (7 x - 3)

Expand

(4 x - 5) \cdot 9 : 36 x - 45

Expand

2 (7 x - 3) : 14 x - 6

36 x - 45 = 14 x - 6

Move

45

to the right side

36 x = 14 x + 39

Move

14 x

to the left side

22 x = 39

Divide both sides by

22

x = \frac{39}{22}

- 14 x - 1 = 6

8 - 2 x = 5 (x - 2)

x, 7 (y - 8) + 24 = x (y - 6)

5 t + 2 = 12

What is the answer to (4x-5)/2 =(7x-3)/9 ?
The answer to (4x-5)/2 =(7x-3)/9 is x= 39/22
Solve for x: (4x-5)/2 =(7x-3)/9
The solution is x= 39/22