a.x-150:75=18 => x-150=18*75=1350 =>. x=1350+150=1500
b.41-(2x-5)=32 => 2x-5=41-32=9 =>2x=9+5=14 =>x=14:2=7
(x+1)+(x+2)+(x+3)+(x+4)+...+(x+100) = 5150
100* x + (1 + 2 + 3 + 4 + ... + 100) = 5150
100* x + 5050 = 5150
100 * x = 100
x = 100 : 100
x = 1
a) x - 150 : 75 = 18
x - 2 = 18
x = 18 + 2
x = 20
b) 41 - (2x - 5) = 32
2x - 5 = 41 - 32
2x - 5 = 9
2x = 9 + 5
2x = 14
x = 14 : 2
x = 7
c) 180 + 5(x - 13) = 100
5(x - 13) = 100 - 180
5(x - 13) = -80
x - 13 = -80 : 5
x - 13 = -16
x = -16 + 13
x = -3
d) 420 - [41 - 2x - 5] = 40
41 - 2x - 5 = 420 - 40
41 - 2x - 5 = 380
41 - 2x = 380 + 5
41 - 2x = 385
2x = 41 - 385
2x = -344
x = -344 : 2
x = -172
e) (x + 1) + (x + 2) + (x + 3) + ... + (x + 100) = 5150
100x + (1 + 2 + 3 + 4 + 5 + 6 + ... + 100) = 5150
100x + 5050 = 5150
100x = 5150 - 5050
100x = 100
x = 100 : 100
x = 1
e) (x + 1) + (x + 2) + (x + 3) + ... + (x + 100) = 5150
100x + (1 + 2 + 3 + 4 + 5 + 6 + ... + 100) = 5150
100x + 5050 = 5150
100x = 5150 - 5050
100x = 100
x = 100 : 100
x = 1
e) (x + 1) + (x + 2) + (x + 3) + ... + (x + 100) = 5150
100x + (1 + 2 + 3 + 4 + 5 + 6 + ... + 100) = 5150
100x + 5050 = 5150
100x = 5150 - 5050
100x = 100
x = 100 : 100
x = 1