Question

Решите уравнения:

1) 17-2x=5-6x
2) 2(4x-5)=2x+8
3) 3x-10=5x+2(4x+5)
4) 6x-6(2x+5)=4(5x-1)
5) 11-4(3x-1)-5(4x-3)=3x
6) 8(x-3)+1=5(2x+3)-2x

P.s. ПОЖАЛУЙСТА с подробным решением, т.е. c объяснением.

Answer 1

$5)11 - 12x + 4 - 20x + 15 = 3x \ 30 - 32x - 3x = 0 \ 30 - 35x = 0 \ 35x = 30 - 0 \ 35x = 30 \ x =$
$x = 30 div 35 \ x = frac{30}{35} = frac{6}{7}$

$1)17 - 2x - 5 + 6x =0 \ 12 + 4x = 0 \ 4x = 0 - 12 = - 12 \ x = - 12 div 4 \ x = - 3$
$2)8x - 10 = 2x + 8 \ 8x - 10 - 2x - 8 = 0 \ 6x - 18 = 0 \ 6x = 18 \ x = 3$
$3)3x - 10 = 5x + 8x + 10 \ 3x - 10 = 13x + 10 \ 3x - 10 - 13x - 10 = 0 \ - 10x - 20 = 0 \ - 10x = 20$
$x = 20 div ( - 10) \ x = - 2$
$4)6x - 18x - 30 = 20x - 4 \ - 12x - 30 - 20x + 4 = 0 \ - 32x - 26 = 0 \ - 32x = 26 \ x = 26 div ( - 32)$
$x = - frac{26}{32} = - frac{13}{16}$
$6)8x - 24 + 1 = 10x + 15 - 2x \ 8x - 23 = 8x + 15 \ 8x - 23 - 8x - 15 = 0$
Нет решения