Răspuns :
Răspuns:
Explicație pas cu pas:
a) 3(x-5)=-18
3x - 15 = -18
3x = 15 - 18 = -3
x = -3/3 = -1
b)4(x+2)-16=-36
4x + 8 - 16 = -36
4x - 8 = -36
4x = 8 - 36 = -28
x = -28/4 = -7
c)2(4-4x)=-4(2-x)+16
8 - 8x = -8 + 4x + 16
8 - 8x = 8 + 4x
8x + 4x = 8 - 8
12x = 0
x = 0
d)3(2-3x)=-5(2x-3)+16
6 - 9x = -10x + 15 + 16
6 - 9x = -10x + 31
10x - 9x = 31 - 6
x = 25
e)-5(2x+8)=-4(3x-11)
-10x - 40 = -12x + 44
12x - 10x = 44 + 40
2x = 84
x = 84 : 2 = 42
f)3(x+4)-24=36
3x + 12 - 24 = 36
3x - 12 = 36
3x = 12 + 36 = 48
x = 48 : 3 = 16
[tex]a) \: 3(x - 5) = - 18[/tex]
[tex]3x - 15 = - 18 | + 15[/tex]
[tex]3x = - 3 | \div 3[/tex]
[tex]x = - 1[/tex]
[tex]b) \: 4(x + 2) - 16 = - 36 | + 16[/tex]
[tex]4x + 8 = - 20 | - 8[/tex]
[tex]4x = - 28 | \div 4[/tex]
[tex]x = - 7[/tex]
[tex]c) \: 2(4 - 4x) = - 4(2 - x) + 16[/tex]
[tex]8 - 8x = - 8 + 4x + 16[/tex]
[tex] - 12x = 0 | \div ( - 12)[/tex]
[tex]x = 0[/tex]
[tex]d) \: 3(2 - 3x) = - 5(2x - 3) + 16[/tex]
[tex]6 - 9x = - 10x + 15 + 16[/tex]
[tex]x = 25[/tex]
[tex]e) \: - 5(2x + 8) = - 4(3x - 11)[/tex]
[tex] - 10x + ( - 40) = - 12x + 44[/tex]
[tex]2x = 84 | \div 2[/tex]
[tex]x = 42[/tex]
[tex]f) \: 3(x + 4) - 24 = 36[/tex]
[tex]3x + 12 - 24 = 36 | + 24[/tex]
[tex]3x + 12 = 60 | - 12[/tex]
[tex]3x = 48 | \div 3[/tex]
[tex]x = 16[/tex]