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Question

asked Dec 12, 2021 186k views

1 Answer

AndraeRay · Answer 1 · 2021-12-17T21:47:47+0000

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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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