Question

See image below the post

Answer 1

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`\boxed{x = -17}`

✽ Simplify both sides of the equation.

`(x+2)/(5)-(x+1)/(4)=1`

`(1)/(5)x + (2)/(5) + (-1)/(4) = 1` (Distribute)

`((1)/(5)x + (-1)/(4) ) + ((2)/(5) + (-1)/(4)) = 1` (Combine Like Terms)

`(-1)/(20)x + (3)/(20) = 1`

✽ Subtract 3/20 from both sides.

`(-1)/(20)x + (3)/(30) - (3)/(20) = 1 - (3)/(20)`

`(-1)/(20)x = (17)/(20)`

✽ Multiply both sides by 20/(-1).

`( (20)/(-1)) * ((-1)/(20)x) = ((20)/(-1)) * ((17)/(20))`

Hence, x = -17

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