а) 2х=18-х : б)7х+3=30-2х :
в)7-2х=3х-18 : г)3(х-2)=х+2 :
д)5-2 (х-1)=4-х ; е)(7х+11)-(9х+3)=5 :
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а) 2х = 18 - х
2х + x = 18
3x = 18
x = 18 : 3
x = 6
б) 7x + 3 = 30 - 2x
7x + 2x = 30 - 3
9x = 27
x = 27 : 9
x = 3
в) 7 - 2x = 3x - 18
- 2x - 3x = -18 - 7
-5x = -25
5x = 25
x = 5
г) 3(x - 2) = x + 2
3x - 6 = x + 2
3x - x = 2 + 6
2x = 8
x = 4
д) 5 - 2(x - 1) = 4 - x
5 - 2x + 2 = 4 - x
-2x + x = 4 - 2 - 5
-x = -3
е) (7х + 11) - (9х + 3) = 5 :
7x + 11 - 9x - 3 = 5
7x - 9x = 5 + 3 - 11
-2x = -3
2x = 3
x = 1.5
Ответ:
а) 2·x=18-x
2·x+x = 18
3·x = 18
x=18:3
Проверка:
2·6=18-6
12=12 верно!
б) 7·x+3=30-2·x
7·x+2·x = 30-3
9·x = 27
x = 27:9
x=3
7·3+3=30-2·3
21+3=30-6
24=24 верно!
в) 7-2·x=3·x-18
-2·x-3·x = -18-7
-5·x = -25
x = -25:(-5)
7-2·5=3·5-18
7-10=15-18
-3 = -3 верно!
г) 3·(x-2)=x+2
3·x-6 = x+2
3·x-x = 2+6
2·x = 8
x = 8:2
3·(4-2)=4+2
3·2=6
6 = 6 верно!
д) 5-2·(x-1)=4-x
5-2·x+2=4-x
-2·x+x=4-5-2
-x=-3
5-2·(3-1)=4-3
5-2·2=1
5-4=1
1 = 1 верно!
е) (7·x+11)-(9·x+3)=5
7·x+11-9·x-3 = 5
-2·x = 5+3-11
-2·x = -3
x = -3:(-2)
x = 1,5
(7·1,5+11)-(9·1,5+3)=5
(10,5+11)-(13,5+3)=5
21,5-16,5=5
5 = 5 верно!
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Answers & Comments
Verified answer
а) 2х = 18 - х
2х + x = 18
3x = 18
x = 18 : 3
x = 6
б) 7x + 3 = 30 - 2x
7x + 2x = 30 - 3
9x = 27
x = 27 : 9
x = 3
в) 7 - 2x = 3x - 18
- 2x - 3x = -18 - 7
-5x = -25
5x = 25
x = 5
г) 3(x - 2) = x + 2
3x - 6 = x + 2
3x - x = 2 + 6
2x = 8
x = 4
д) 5 - 2(x - 1) = 4 - x
5 - 2x + 2 = 4 - x
-2x + x = 4 - 2 - 5
-x = -3
x = 3
е) (7х + 11) - (9х + 3) = 5 :
7x + 11 - 9x - 3 = 5
7x - 9x = 5 + 3 - 11
-2x = -3
2x = 3
x = 1.5
Verified answer
Ответ:
а) 2·x=18-x
2·x+x = 18
3·x = 18
x=18:3
x = 6
Проверка:
2·6=18-6
12=12 верно!
б) 7·x+3=30-2·x
7·x+2·x = 30-3
9·x = 27
x = 27:9
x=3
Проверка:
7·3+3=30-2·3
21+3=30-6
24=24 верно!
в) 7-2·x=3·x-18
-2·x-3·x = -18-7
-5·x = -25
x = -25:(-5)
x = 5
Проверка:
7-2·5=3·5-18
7-10=15-18
-3 = -3 верно!
г) 3·(x-2)=x+2
3·x-6 = x+2
3·x-x = 2+6
2·x = 8
x = 8:2
x = 4
Проверка:
3·(4-2)=4+2
3·2=6
6 = 6 верно!
д) 5-2·(x-1)=4-x
5-2·x+2=4-x
-2·x+x=4-5-2
-x=-3
x=3
Проверка:
5-2·(3-1)=4-3
5-2·2=1
5-4=1
1 = 1 верно!
е) (7·x+11)-(9·x+3)=5
7·x+11-9·x-3 = 5
-2·x = 5+3-11
-2·x = -3
x = -3:(-2)
x = 1,5
Проверка:
(7·1,5+11)-(9·1,5+3)=5
(10,5+11)-(13,5+3)=5
21,5-16,5=5
5 = 5 верно!