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

The answer to (x-2)/9 =(x+6)/2 is x=-58/7

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

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

x = - \frac{58}{7}

Decimal Notation

x = - 8.28571 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 2) \cdot 2 : 2 x - 4

Expand

9 (x + 6) : 9 x + 54

2 x - 4 = 9 x + 54

Move

4

to the right side

2 x = 9 x + 58

Move

9 x

to the left side

- 7 x = 58

Divide both sides by

- 7

x = - \frac{58}{7}

3 x + (x + 5) = 5 x - (3 + 2 x)

5 (- x - 1) = - 5 x - 5

q, r = 10 q + 3

10 = 4 a - 1

2 x - y = 12, y

What is the answer to (x-2)/9 =(x+6)/2 ?
The answer to (x-2)/9 =(x+6)/2 is x=-58/7
Solve for x: (x-2)/9 =(x+6)/2
The solution is x=-58/7