Question

4(-x-1)+5x-2=-2x-8

3+2(4+2x)+1=20-2 (2-x)

Answer 1

Explicación paso a paso:

$4( - x - 1) + 5x - 2 = - 2x - 8 \\ - 4x - 4 + 5x - 2 = - 2x - 8 \\ x - 6 = - 2x - 8 \\ x + 2x = - 8 + 6 \\ 3x = - 2 \\ x = - \frac{2}{3} \\ \\ comprobación \\ 4( - ( - \frac{2}{3} ) - 1) + 5 \times( - \frac{2}{3} ) - 2 = - 2 \times ( - \frac{2}{3} ) - 8 \\ \\ 4( + \frac{2}{3} - 1) - \frac{10}{3} - 2 = \frac{4}{3} - 8 \\ \\ 4 \times ( \frac{2 - 3}{3} ) - \frac{10}{3} - 2 = \frac{4 - 24}{3} \\ \\ 4 \times ( - \frac{1}{3} ) - \frac{10}{3} - 2 = - \frac{20}{3} \\ \\ - \frac{4}{3} - \frac{10}{3} - 2 = - \frac{20}{3} \\ \\ \frac{ - 4 - 10 - 6}{3} = - \frac{20}{3} \\ \\ - \frac{20}{3} = - \frac{20}{3}$

$3 + 2(4 + 2x) + 1 = 20 - 2(2 - x) \\ 3 + 8 + 4x + 1 = 20 - 4 + 2x \\ 4x + 12 = 16 + 2x \\ 4x - 2x = 16 - 12 \\ 2x = 4 \\ x = 4 \div 2 \\ x = 2 \\ \\ comprobación \\ 3 + 2(4 + 2 \times 2 ) + 1 = 20 - 2(2 - 2) \\ \\ 3 + 2(4 + 4) + 1 = 20 - 2(0) \\ 3 + 2 \times 8 + 1 = 20 - 0 \\ 3 + 16 + 1 = 20 \\ 20 = 20$