Question

Solve image below:

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Answer 1

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Explanation:

Answer 2

Answer:
`x=(6)/(-3y+8)`

Explanation:

Let's solve for
`x`.

`(x-2)/(3y-5) =(x)/(3)`

Step 1: Multiply both sides by
`3y-5`.

`x-2=(3xy-5x)/(3)`

Step 2: Multiply both sides by
`3`.

`3x-6=3xy-5x`

Step 3: Add
`-3xy` to both sides.

`3x-6+-3xy=3xy-5x+-3xy`

`-3xy+3x-6=-5x`

Step 4: Add
`5x` to both sides.

`-3xy+3x-6+5x=-5x+5x`

`-3xy+8x-6=0`

Step 5: Add
`6` to both sides.

`-3xy+8x-6+6=0+6`

`-3xy+8x=6`

Step 6: Factor out variable
`x`.

`x(-3y+8)=6`

Step 7: Divide both sides by
`-3y+8`.

`(x(-3y+8))/(-3y+8)=(6)/(y-3y+8)`

`x=(6)/(-3y+8)`

Answer:

`x=(6)/(-3y+8)`