Question

1)23-(а-2)=7 2)19-(10-х)=12 3)(m-8)-14=15 4)(m-15)+13=25 5)(18-х)+14=30 6)(24-а)-7=12

Answer 1

23-(а-2)=7

23-а+2=7

-а=7-23-2

-а=-18

а=18

19-(10-Х)=12

19-10+х=12

х=12-19+10

х=3

(M-8)-14=15

m-8-14=15

m=15+8+14

m=37

(m-15)+13=25

m-15+13=25

m=25+15-13

m=27

(18-x)+14=30

18-x+14=30

x=30-18-14

x= -2

(24-a)-7=12

24-a-7=12

-a=12+7-24

-a=-5

a=5

Answer 2

1) 23 - (а - 2) = 7

23 - а + 2 = 7

- а = 7 - 23 - 2

- а = - 18

а = 18

2) 19 - (10 - х) = 12

19 - 10 + х = 12

х = 12 - 19 + 10

х = 3

3) (m - 8) - 14 = 15

m + 8 - 14 = 15

m = 15 - 8 + 14

m = 21

4) (m - 15) + 13 = 25

m - 15 + 13 = 25

m = 25 + 15 - 13

m = 27

5) (18 - х) + 14 = 30

18 - х + 14 = 30

- х = 30 - 18 - 14

- х = - 2

х = 2

(24 - а) - 7 = 12

24 + а - 7 = 12

а = 12 - 24 + 7

а = - 5

Answer 3

To solve each of these equations, follow the steps below:

1. 23 - (a - 2) = 7

First, remove the parentheses:

23 - a + 2 = 7

Next, isolate the variable 'a' by moving constants to the other side:

• a = 7 - 23 + 2

Simplify:

• a = -14 + 2

• a = -12

So, the solution is a = -12.

2. 19 - (10 - x) = 12

Remove the parentheses:

19 - 10 + x = 12

Isolate the variable 'x':

x = 12 - 19 + 10

Simplify:

x = 3 + 10

x = 13

The solution is x = 13.

3. (m - 8) - 14 = 15

Remove the parentheses:

m - 8 - 14 = 15

Combine like terms:

m - 22 = 15

Isolate the variable 'm':

m = 15 + 22

m = 37

The solution is m = 37.

4. (m - 15) + 13 = 25

Remove the parentheses:

m - 15 + 13 = 25

Combine like terms:

m - 2 = 25

Isolate the variable 'm':

m = 25 + 2

m = 27

The solution is m = 27.

5. (18 - x) + 14 = 30

Remove the parentheses:

18 - x + 14 = 30

Combine like terms:

32 - x = 30

Isolate the variable 'x':

-x = 30 - 32

Simplify:

-x = -2

To solve for 'x', multiply both sides by -1 (to get rid of the negative sign):

x = 2

The solution is x = 2.

6. (24 - a) - 7 = 12

Remove the parentheses:

24 - a - 7 = 12

Combine like terms:

17 - a = 12

Isolate the variable 'a':

-a = 12 - 17

Simplify:

-a = -5

To solve for 'a', multiply both sides by -1 (to get rid of the negative sign):

a = 5

The solution is a = 5.