What is the answer to (2x+9)/5 =(7x-5)/6 ?

The answer to (2x+9)/5 =(7x-5)/6 is x= 79/23

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(2x+9)/5 =(7x-5)/6

\frac{2 x + 9}{5} = \frac{7 x - 5}{6}

x = \frac{79}{23}

Decimal Notation

x = 3.43478 \dots

Solution steps

\frac{2 x + 9}{5} = \frac{7 x - 5}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 9) \cdot 6 = 5 (7 x - 5)

Expand

(2 x + 9) \cdot 6 : 12 x + 54

Expand

5 (7 x - 5) : 35 x - 25

12 x + 54 = 35 x - 25

Move

54

to the right side

12 x = 35 x - 79

Move

35 x

to the left side

- 23 x = - 79

Divide both sides by

- 23

x = \frac{79}{23}

(32 x^{- 30} y^{20})^{\frac{4}{5}}

3 (x - 4)^{2} + 20 = 47

2 x^{2} - 21 x - 11

6 (x - 7) - 7 (x - 6) = x + 6 - (x - 4)

2 x = x - 1

What is the answer to (2x+9)/5 =(7x-5)/6 ?
The answer to (2x+9)/5 =(7x-5)/6 is x= 79/23
Solve for x: (2x+9)/5 =(7x-5)/6
The solution is x= 79/23