Question

1/2( x – 1 ) -2/3( x + 1)=3/4​

Answer 1

$\frac{1}{2} (x - 1) - \frac{2}{3}( x + 1) = \frac{3}{4} \\ \\ \frac{x - 1}{2} - \frac{2x + 2}{3} = \frac{3}{4} \\ \\ \frac{3(x - 1) - 2(2x + 2)}{6} = \frac{3}{4} \\ \\ \frac{3x - 3 - 4x - 4}{6} = \frac{3}{4} \\ \\ \frac{ - x - 7}{6} = \frac{3}{4} \\ \\ 4( - x - 7) = 3 \times 6 \\ \\ - 4x - 28 = 18 \\ \\ - 4x = 18 + 28 \\ \\ x = - \frac{46}{4} \\ \\ x = \frac{ - 23}{2}$

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