Question

aplica la propiedad distributiva y resuelve
a) 7(x - 5) - x = 3
B) - 3 ( 2x - 5) - 5x = 3x
C) 7 ( x - 2) - 6x + 1 = 3 - 4x
d) 4x + 2 ( 2x - 5) = ( x - 3) - ( 8 - x).
e) 9x - 2 ( x - 4x) = 3x - 2 ( 3 - x). ​

Answer 1

$a)7(x - 5) - x = 3 \\ 7x - 35 - x = 3 \\ 6x - 35 = 3 \\ 6x =3 + 35 \\ 6x = 38 \\x = \frac{ 38}{6} \\ x = \frac{19}{3}$

$b) - 3(2x - 5) - 5x = 3x \\ - 6x + 15 - 5x = 3x \\ - 11x + 15 = 3x \\ 15 = 3x + 11x \\ 15 = 14x \\ \frac{15}{14} = x$

$c)7(x - 2) - 6x + 1 = 3 - 4x \\ 7x - 14 - 6x + 1 = 3 - 4x \\x - 13 = 3 - 4x \\ x + 4x = 3 + 13 \\ 5x = 16\\ x = \frac{16}{5}$

$d)4x + 2(2x - 5) = (x - 3) - (8 - x) \\ 4x + 4x - 10 = x - 3 - 8 + x \\ 8x - 10 = 2x - 11 \\ 8x - 2x = - 11 + 10 \\ 6x = - 1 \\ x = - \frac{1}{6}$

$e)9x - 2(x - 4x) = 3x - 2(3 - x) \\ 9x - 2x + 8x = 3x - 6 + 2x \\ 15x = 5x - 6 \\ 15x - 5x = - 6 \\ 10x = - 6 \\ x = - \frac{6}{10 } \\ x = - \frac{3}{5}$