Question

А) 2(3х + 1) – 8 = 3х – 7; В) 15-(3-х) = 2 + (7х-20); С) 6 - (4+2х)/6 = (2-х)/2 ; D) (5х - 3)/8- 3/4= (4+х)/2 ; Е) 4 + (2х-7)/10= (6-3х)/5+3 Даю все свои баллы

Answer 1

Ответ:

A)x=-1:3

B) x=0

C)x=-2,2

D)x=44:42

E)x=99:35

Пошаговое объяснение:

Answer 2

А) 2(3х + 1) - 8 = 3х - 7

To solve this equation, we'll start by simplifying the left side of the equation:

2(3х + 1) - 8

First, distribute the 2 to both terms inside the parentheses:

6х + 2 - 8

Combine like terms:

6х - 6

Now our equation becomes:

6х - 6 = 3х - 7

To isolate the variable, we'll move all terms with x to one side of the equation and the constant terms to the other side. Let's subtract 3х from both sides:

6х - 3х - 6 = 3х - 3х - 7

Simplifying the equation further:

3х - 6 = -7

Next, we'll add 6 to both sides:

3х - 6 + 6 = -7 + 6

Simplifying again:

3х = -1

Finally, divide both sides by 3 to solve for x:

(3х)/3 = -1/3

Simplifying one last time:

х = -1/3

Therefore, the solution to the equation А) 2(3х + 1) - 8 = 3х - 7 is x = -1/3.

В) 15 - (3 - х) = 2 + (7х - 20)

To solve this equation, we'll start by simplifying both sides:

15 - (3 - х) = 2 + (7х - 20)

First, simplify the parentheses on both sides:

15 - 3 + х = 2 + 7х - 20

Combine like terms:

12 + х = -18 + 7х

To isolate the variable, we'll move all terms with x to one side of the equation and the constant terms to the other side. Let's subtract 7х from both sides:

12 + х - 7х = -18 + 7х - 7х

Simplifying the equation further:

-6х + х = -18

Next, we'll combine the x terms:

-6х + х = -18

-5х = -18

Finally, divide both sides by -5 to solve for x:

(-5х)/-5 = -18/-5

Simplifying one last time:

х = 18/5

Therefore, the solution to the equation В) 15 - (3 - х) = 2 + (7х - 20) is x = 18/5.

С) 6 - (4 + 2х)/6 = (2 - х)/2

To solve this equation, we'll start by simplifying both sides:

6 - (4 + 2х)/6 = (2 - х)/2

First, simplify the fractions on both sides:

6 - (4 + 2х)/6 = (2 - х)/2

Next, let's get rid of the fractions by multiplying both sides by the least common denominator (LCD), which is 6:

6*(6 - (4 + 2х)/6) = 6*((2 - х)/2)

Simplifying both sides:

36 - 4 - 2х = 3 - (3х)/2

Combine like terms:

32 - 2х = 3 - (3х)/2

To get rid of the fraction on the right side, we'll multiply both sides by 2:

2*(32 - 2х) = 2*(3 - (3х)/2)

Simplifying both sides:

64 - 4х = 6 - 3х

Now, let's isolate the variable by moving all terms with x to one side of the equation and the constant terms to the other side. Let's subtract 6 from both sides:

64 - 4х - 6 = 6 - 3х - 6

Simplifying the equation further:

58 - 4х = -3х

Next, let's add 4х to both sides:

58 - 4х + 4х = -3х + 4х

Simplifying again:

58 = x

Therefore, the solution to the equation С) 6 - (4 + 2х)/6 = (2 - х)/2 is x = 58.

D) (5х - 3)/8 - 3/4 = (4 + х)/2

To solve this equation, we'll start by simplifying both sides:

(5х - 3)/8 - 3/4 = (4 + х)/2

Let's get rid of the fractions by multiplying both sides by the least common denominator (LCD), which is 8:

8*((5х - 3)/8 - 3/4) = 8*((4 + х)/2)

Simplifying both sides:

5х - 3 - 6 = 4 + 4х

Combine like terms:

5х - 9 = 4 + 4х

To isolate the variable, we'll move all terms with x to one side of the equation and the constant terms to the other side. Let's subtract 4х from both sides:

5х - 4х - 9 = 4 + 4х - 4х

Simplifying the equation further:

х - 9 = 4

Next, let's add 9 to both sides:

х - 9 + 9 = 4 + 9

Simplifying again:

х = 13

Therefore, the solution to the equation D) (5х - 3)/8 - 3/4 = (4 + х)/2 is x = 13.

Е) 4 + (2х - 7)/10 = (6 - 3х)/5 + 3

To solve this equation, we'll start by simplifying both sides:

4 + (2х - 7)/10 = (6 - 3х)/5 + 3

First, let's get rid of the fractions by multiplying both sides by the least common denominator (LCD), which is 10:

10*(4 + (2х - 7)/10) = 10*((6 - 3х)/5 + 3)

Simplifying both sides:

40 + 2х - 7 = 2(6 - 3х) + 30

Combine like terms:

40 + 2х - 7 = 12 - 6х + 30

Next, let's isolate the variable by moving all terms with x to one side of the equation and the constant terms to the other side. Let's add 6х to both sides:

40 + 2х - 7 + 6х = 12 - 6х + 30 + 6х

Simplifying the equation further:

8х + 33 = 42

Now, let's subtract 33 from both sides:

8х + 33 - 33 = 42 - 33

Simplifying again:

8х = 9

Finally, divide both sides by 8 to solve for x:

(8х)/8 = 9/8

Simplifying one last time:

х = 9/8

Therefore, the solution to the equation Е) 4 + (2х - 7)/10 = (6 - 3х)/5 + 3 is x = 9/8.

I hope this helps! Let me know if you have any more questions.