Question

5x-[3(x‐5)]=[3(4‐8)‐5(x‐2)+4]​

Answer 1

Respuesta: x= -1.86

Explicación paso a paso:

5x-[3(x‐5)]=[3(4‐8)‐5(x‐2)+4]

5x-(3x-15) = 12-24-5x+10+4

5x-3x+15 = 12-24-5x+10+4

5x-3x+5x=12-24+10+4-15

7x= -13

x= -13/7

x= -1.86

Answer 2

Explicación paso a paso:

$5x - (3(x - 5)) = (3(4 -8 ) - 5(x - 2) + 4) \\ 5x - (3x - 15) = (3( - 4) - 5x + 10 + 4) \\ 5x - 3x + 15 = - 12 - 5x + 14 \\ 2x + 15 = - 5x + 2 \\ 2x + 5x = 2 - 15 \\ 7x = - 13 \\ x = - \frac{13}{7}$

$comprobacion \\ 5 \times ( - \frac{13}{7} ) - (3( - \frac{13}{7} - 5)) = (3(4 - 8) - 5( - \frac{13}{7} - 2 ) + 4) \\ \\ - \frac{65}{7} - (3( \frac{ - 13 - 35}{7} )) = (3( - 4) - 5( \frac{ - 13 - 14}{7} ) + 4) \\ \\ - \frac{65}{7} - (3 \times ( - \frac{48}{7} )) = - 12 - 5 \times ( - \frac{27}{7} ) + 4 \\ \\ - \frac{65}{7} - ( - \frac{144}{7} ) = - 12 + \frac{135}{7} + 4 \\ \\ - \frac{65}{7} + \frac{144}{7} = \frac{ - 84 + 135 + 28}{7} \\ \frac{79}{7} = \frac{79}{7}$