What is the answer to (5x+1)/6 =(4x-2)/9 ?

The answer to (5x+1)/6 =(4x-2)/9 is x=-1

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(5x+1)/6 =(4x-2)/9

\frac{5 x + 1}{6} = \frac{4 x - 2}{9}

x = - 1

Solution steps

\frac{5 x + 1}{6} = \frac{4 x - 2}{9}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(5 x + 1) \cdot 9 = 6 (4 x - 2)

Expand

(5 x + 1) \cdot 9 : 45 x + 9

Expand

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

45 x + 9 = 24 x - 12

Move

9

to the right side

45 x = 24 x - 21

Move

24 x

to the left side

21 x = - 21

Divide both sides by

21

x = - 1

x, \frac{x}{y} = 0

- 9 + 7 b = 8 b - 7

7 x - 3 = 9 x - 21

a (n + y) = 10 y + 32

2 (x + 8) - 4 x = 10 x + 4

What is the answer to (5x+1)/6 =(4x-2)/9 ?
The answer to (5x+1)/6 =(4x-2)/9 is x=-1
Solve for x: (5x+1)/6 =(4x-2)/9
The solution is x=-1