What is the answer to (x-9)/6 =(2x-4)/5 ?

The answer to (x-9)/6 =(2x-4)/5 is x=-3

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(x-9)/6 =(2x-4)/5

\frac{x - 9}{6} = \frac{2 x - 4}{5}

x = - 3

Solution steps

\frac{x - 9}{6} = \frac{2 x - 4}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 9) \cdot 5 = 6 (2 x - 4)

Expand

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

Expand

6 (2 x - 4) : 12 x - 24

5 x - 45 = 12 x - 24

Move

45

to the right side

5 x = 12 x + 21

Move

12 x

to the left side

- 7 x = 21

Divide both sides by

- 7

x = - 3

\frac{1 - 2 x}{9} = 1 - \frac{x + 4}{6}

2 (2 + 4 x) = 3 + 12 x

x (x^{2} - 1) = 3 + x^{3}

6 x - 10 = 0

\frac{x}{6} - 1 = \frac{1}{3} (9 - 3 x)

What is the answer to (x-9)/6 =(2x-4)/5 ?
The answer to (x-9)/6 =(2x-4)/5 is x=-3
Solve for x: (x-9)/6 =(2x-4)/5
The solution is x=-3