Question

(3-5)(4-х)=(х-2)(6-2)​

Answer 1

1) 2 * ( x + 5 ) = 12 2) 84 : ( x - 3 ) = 42

х + 5 = 12 : 2 х - 3 = 84 : 42

х + 5 = 6 х - 3 = 2

х = 6 - 5 х = 2 + 3

х = 1 х = 5

проверка: проверка:

2 * ( 1 + 5 ) = 2 * 6 = 12 84 : ( 5 - 3 ) = 84 : 2 = 42

3) 3 * ( x + 4 ) = 33 4) 45 : ( x - 5 ) = 15

х + 4 = 33 : 3 х - 5 = 45 : 15

х + 4 = 11 х - 5 = 3

х = 11 - 4 х = 3 + 5

х = 7 х = 8

проверка: проверка:

3 * ( 7 + 4 ) = 3 * 11 = 33 45 : ( 8 - 5 ) = 45 : 3 = 15

5) 4 * ( x - 7 ) = 12 6) 6 * ( x - 2 ) = 24

х - 7 = 12 : 4 х - 2 = 24 : 6

х - 7 = 3 х - 2 = 4

х = 3 + 7 х = 4 + 2

х = 10 х = 6

проверка: проверка:

4 * ( 10 - 7 ) = 4 * 3 = 12 6 * ( 6 - 2 ) = 6 * 4 = 24

7) ( x + 3 ) * 3 = 27 8) ( x - 4 ) : 5 = 7

х + 3 = 27 : 3 х - 4 = 7 * 5

х + 3 = 9 х - 4 = 35

х = 9 - 3 х = 35 + 4

х = 6 х = 39

проверка: проверка:

( 6 + 3 ) * 3 = 9 * 3 = 27 ( 39 - 4 ) : 5 = 35 : 5 = 7

9) ( x - 3 ) : 2 = 12 10) ( x - 9 ) * 3 = 12

х - 3 = 12 * 2 х - 9 = 12 : 3

х - 3 = 24 х - 9 = 4

х = 24 + 3 х = 4 + 9

х = 27 х = 13

проверка: проверка:

( 27 - 3 ) : 2 = 24 : 2 = 12 ( 13 - 9 ) * 3 = 4 * 3 = 12

11) ( 3 x + 7 ) * 2 = 32 12) ( 2x - 20 ) : 32 = 6

3х + 7 = 32 : 2 2х - 20 = 6 * 32

3х + 7 = 16 2х - 20 = 192

3х = 16 - 7 2х = 192 + 20

3х = 9 2х = 212

х = 9 : 3 х = 212 : 2

х = 3 х = 106

проверка: проверка:

( 3 * 3 + 7 ) * 2 = 16 * 2 = 32 (2 * 106-20) :32 = 192:32 = 6

13) ( 42 + 2x ) : 2 = 32 14) ( 5x - 7 ) * 5 = 15

42 + 2х = 32 * 2 5х - 7 = 15 : 5

42 + 2х = 64 5х - 7 = 3

2х = 64 - 42 5х = 3 + 7

2х = 22 5х = 10

х = 22 : 2 х = 10 : 5

х = 11 х = 2

проверка: проверка:

( 42 + 2 * 11 ) : 2 = 64 : 2 = 32 ( 5 * 2 - 7 ) * 5 = 3 * 5 = 15

15) ( 13 - 2x ) * 3 = 27 16) ( 40 - 4x ) : 2 = 16

13 - 2х = 27 : 3 40 - 4х = 16 * 2

13 - 2х = 9 40 - 4х = 32

2х = 13 - 9 4х = 40 - 32

2х = 4 4х = 8

х = 4 : 2 х = 8 : 4

х = 2 х = 2

проверка: проверка:

( 13 - 2 * 2 ) * 3 = 9 * 3 = 27 ( 40 - 4 * 2 ) : 2 = 16

17) ( 63 - 9x ) : 3 = 15 18) 4 * ( x - 3 ) = 12

63 - 9х = 15 * 3 х - 3 = 12 : 4

63 - 9х = 45 х - 3 = 3

9х = 63 - 45 х = 3 + 3

9х = 18 х = 6

х = 18 : 9

х = 2

проверка: проверка:

( 63 - 9 * 2 ) : 3 = 45 : 3 = 15 4 * ( 6 - 3 ) = 4 * 3 = 12

19) 5 * ( x + 5 ) = 45 20) 3 * ( x - 7 ) = 9

х + 5 = 45 : 5 х - 7 = 9 : 3

х + 5 = 9 х - 7 = 3

х = 9 - 5 х = 3 + 7

х = 4 х = 10

проверка: проверка:

5 * ( 4 + 5 ) = 5 * 9 = 45 3 * ( 10 - 7 ) = 3 * 3 = 9

Answer 2

To solve the equation (3-5)(4-x) = (x-2)(6-2), follow these steps:

Step 1: Distribute the terms on both sides of the equation.

(3 - 5)(4 - x) = (x - 2)(6 - 2) (-2)(4 - x) = (x - 2)(4) -8 + 2x = 4x - 8

Step 2: Move the terms involving x to one side of the equation and the constants to the other side.

2x - 4x = 8 - 8 -2x = 0

Step 3: Solve for x.

Divide both sides by -2: x = 0

So, the solution to the equation is x = 0.