Question

Rozwiąż równania
2(x+5)=x-8x
6(x-2)=2(x-5)
7(x+3)=5-16x
12(x-10)=5-(x+5)
8(x-5)-3(x+2)
17(x-1)=8(x+2)
15(x+2)=7(x-1)
5(x-8)=2(x-5)
17(x+3)=6(x+1)
x/2+3=x/3
x/2-1=x/5
2+x/3=x/6
6+x/4=x/8
x/8=16
x/5-2=x/10

Answer 1

2(x+5)=x-8x → 2x+10 = x - 8x /+8x → 10x+10 = x /-x → 9x+10 = 0
6(x-2)=2(x-5) → 6x-12 = 2x-10 /+12 → 6x = 2x+2 /-2x → 4x = 2 /:4 → x = 0,5
7(x+3)=5-16x → 7x+21 = 5-16x /+16x → 23x+21 = 5 /-5 → 23x+21 = 0
12(x+3)=5(x+5) → 12x+36 = 5x+25 /-5x → 7x+36 = 25 / -25 → 7x+11 = 0
8(x-5)=3(x+2) → 8x-40 = 3x+6 /+40 → 8x = 3x+46 /-3x → 5x = 46 /:5 →x = 9,2
17(x-1)=8(x+2) → 17x-17 = 8x+16 / +17 → 17x = 8x+33 /-8x  → 9x = 33 /:9 → x = 3,(6)
15(x+2)=7(x-1) → 15x+30 = 7x-7 /+7 → 15x+37 = 7x /-7x → 8x+37 = 0
5(x-8)=2(x-5) → 5x-40 = 2x-10 /+40 → 5x = 2x+30 /-2x → 3x = 30 /:3 → x = 10
17(x+3)=6(x+1) → 17x+51 = 6x+6 /-6 → 17x+45 = 6x /-6x → 11x+45 = 0
x/2+3=x/3 /·6 → 3x+18 = 2x /-2x → x+18 = 0
x/2-1=x/5 /·10 → 5x-10 = 2x /+10 → 5x = 2x+10 /-2x → 3x = 10 /:3 → x = 3,(3)
2+x/3=x/6 /·6 → 12+2x=x /-x  → 12+x = 0
6+x/4=x/8 /·8 → 48+2x = x /-x → 48+x = 0
x/8=16 /·8 → x = 128
x/5-2=x/10 /·10 → 2x-20 = x /+20 → 2x = x+20 /-x → x = 20