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

The answer to (2x-5)/9 =(3x-7)/7 is x= 28/13

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

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

x = \frac{28}{13}

Decimal Notation

x = 2.15384 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(2 x - 5) \cdot 7 : 14 x - 35

Expand

9 (3 x - 7) : 27 x - 63

14 x - 35 = 27 x - 63

Move

35

to the right side

14 x = 27 x - 28

Move

27 x

to the left side

- 13 x = - 28

Divide both sides by

- 13

x = \frac{28}{13}

- 5 - 5 y = - 15

9 x^{2} - 19 x + 10

\frac{r}{2} \leq 3

x^{2} - 11 x - 26 = 0

\frac{1}{6} \times \frac{1}{6} \times \frac{1}{6}

What is the answer to (2x-5)/9 =(3x-7)/7 ?
The answer to (2x-5)/9 =(3x-7)/7 is x= 28/13
Solve for x: (2x-5)/9 =(3x-7)/7
The solution is x= 28/13