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[tex]\boxed{x = -17}[/tex]
✽ Simplify both sides of the equation.
[tex]\frac{x+2}{5}-\frac{x+1}{4}=1[/tex]
[tex]\frac{1}{5}x + \frac{2}{5} + \frac{-1}{4} = 1[/tex] (Distribute)
[tex](\frac{1}{5}x + \frac{-1}{4} ) + (\frac{2}{5} + \frac{-1}{4}) = 1[/tex] (Combine Like Terms)
[tex]\frac{-1}{20}x + \frac{3}{20} = 1[/tex]
✽ Subtract 3/20 from both sides.
[tex]\frac{-1}{20}x + \frac{3}{30} - \frac{3}{20} = 1 - \frac{3}{20}[/tex]
[tex]\frac{-1}{20}x = \frac{17}{20}[/tex]
✽ Multiply both sides by 20/(-1).
[tex]( \frac{20}{-1}) * (\frac{-1}{20}x) = (\frac{20}{-1}) * (\frac{17}{20})[/tex]
Hence, x = -17
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
