Question

5/8 * (x-2)- 2/3 *(x+2) = -1

Answer 1

$\frac{5}{8} \times (x - 2) - \frac{2}{3} \times (x + 2) = - 1 \\ \frac{5}{8} x - \frac{5}{4} - \frac{2}{3} x - \frac{4}{3} = - 1 \\ \frac{5}{8} x - \frac{31}{12} - \frac{2}{3} x = - 1 \\ 15x - 62 - 16x = - 24 \\ - x - 62 = - 24 \\ - x = - 24 + 62 \\ - x = 38 \\ x = - 38$

Answer 2

$\frac{5}{8} (x - 2) - \frac{2}{3} ( x+ 2) = - 1 \\ x( \frac{5}{8} - \frac{2}{3} ) - \frac{5}{4} - \frac{4}{3} = - 1 \\ - \frac{x}{24} - \frac{31}{12} = - 1 \\ - \frac{x}{24} = \frac{19}{12} \\ x = - 2 \times 19 = - 38$