1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

1) 3х-5х= -13+3
2) 4х-7=2х+15
3) 7(2+у) – 3у=5у-6
4) 3(х-7)-(9-2х)=2(12-х)-(х-10)
5) 4(0,6х-0,3)-3(0,7х-0,1)=0

12.

1) -5у-17у=-50+6
2) 7х+12=10х-3
3) 4х-2(3+х)=9-х
4) 4(2-3х) – 2(9х-8)=15(1-х)+3(4-х)
5) 5(0,14-0,23х)+3(0,3х+0,1)=0
13.

1) -7х+12х=8-23
2) 33-5х=15-8х
3) 17+3(15-с)=(4-с)=(4-с)-2(с-5)
4) 7(3-х)-3(х-4)=5(3+2х)-2(-3-2х)
5) 0,6(х-1)-(х+1)=0

14.

1) 16х – 7х= -42 – 39
2) -24+3х=9х+18
3) -3(5а-1)+4а=2а+7(5-3а)
4) 4(х-16) – (8-х)=10(х+1)-2(15+8х)
5) 5(0,16х+0,33) – (3-х)=0
15.

1) у-12у=-6-27
2) -15х+31=-7+4х
3) 2(4-9а) – (2а+3)= -8(4-а)+3(1+2а)
4) (х+2)+х=9
5) 1,24х+3,46=1,76х+6,58

16.

1) -22у-18у=5*(-2)
2) 11-х=55+х
3) 5(2-3в)-4(6+2в)=28-(в-2)
4) 2(х-2)+3=0,4(х+8)
5) 5,96-1,8с=4,7-2,7с
17.

1) –х+6х= -45+15
2) 28-4х=19-х
3) -2(3х+4)+(6х+8)=4(5х-2)-(5х+8)
4) 2(5-3х)=6-5х
5) -4,92у-(0,08у+5,12)= - 0,88-у

18.

1) -27у-33у= - 12*(-5)
2) -35-2х=42+9х
3) 8(4-3у)-(7-2у)= -(6+3у)+8(у-2)
4) 11+2х=55+3х
5) -3(х-2)+4(1+2х)=10,3+20х
19.

1) х+(7+х)=11
2) (х+8)+(3-2х)=3
3) 10(у-2)=9(у-6)
4) 3(1-х)-5(х+2)=1-4х
5) -15-3х= - 7х+45

20.

1) х+2х-5=40
2) 3х-1-(х+2)=1
3) -5(5-3у)=16(у-3)
4) (2+х)2+(4х-1)3=10х-7
5) -4(1+2х)+3(х-2)= -18,3 – 20х
21.

1) х+(4+х)+х=16
2) (х-3)+(2х-4)= -1
3) 7(3у-5)= -10(3-2у)
4) (4+5х) – 3(2-х)=16х-0,4
5) 8(4-3у)-(7-2у)= -(6+3у)+8(у-2)

22.

1) 4х-3+(1-х)= -2
2) 14(3у-2)= -7(4-6у)
3) 2х+0,1 – 4(1-4х)=8х-4,4
4) 6х+6=4х-2
5) 2,44+2,3р=3,12+2,7р
23.

1) 3(х-2)=х+2
2) (х+2)+(4х-3)-(5-х)=1
3) 4х-3=2х+1
4) -2х-4=2х+8
5) 0,4(х-3)=0,5(4+х)-2,5

24.

1) 2(х-3)=7(2+х)
2) 3-(х+1)-(х-4)+(2х-1)=0
3) 2(1-х) – 4(2х+8)=8х+28
4) –(3у+7)=8-2(8-у)
5) 5,96-1,8с=4,7-2,7с

1) 3х - 5х = -13 + 3

To solve this equation, we need to combine like terms on each side of the equation.

On the left side of the equation, 3х and -5х are like terms since they both have the variable х. We can combine them by subtracting 5х from 3х, which gives us -2х.

On the right side of the equation, -13 and 3 are constants. Since they have no variables, they remain the same.

So, the equation becomes:
-2х = -10

To isolate х, we need to divide both sides of the equation by -2.

-2х / -2 = -10 / -2
х = 5

Therefore, the solution to the equation is х = 5.

2) 4х - 7 = 2х + 15

To solve this equation, we need to isolate the variable х by combining like terms and performing the necessary operations.

First, we can start by subtracting 2х from both sides of the equation:
4х - 2х - 7 = 2х - 2х + 15

Simplifying this equation gives us:
2х - 7 = 15

Next, we add 7 to both sides of the equation to isolate the term with х:
2х - 7 + 7 = 15 + 7

Simplifying this equation gives us:
2х = 22

Finally, we divide both sides of the equation by 2 to solve for х:
2х / 2 = 22 / 2
х = 11

Therefore, the solution to the equation is х = 11.

3) 7(2 + у) - 3у = 5у - 6

To solve this equation, we distribute the 7 to both terms inside the parentheses:
14 + 7у - 3у = 5у - 6

Next, we combine like terms on both sides of the equation.
On the left side:
14 + 7у - 3у can be simplified to 14 + 4у.

On the right side:
We already have 5у.

So, the equation becomes:
14 + 4у = 5у - 6

To isolate у, we need to move all terms containing у to one side of the equation. We do this by subtracting 5у from both sides:
14 + 4у - 5у = 5у - 5у - 6

Simplifying this equation gives us:
14 - у = -6

Next, we add у to both sides of the equation to isolate у:
14 - у + у = -6 + у

Simplifying this equation gives us:
14 = -6 + у

To solve for у, we subtract -6 from both sides of the equation:
14 - -6 = -6 - -6 + у

Simplifying this equation gives us:
20 = у

Therefore, the solution to the equation is у = 20.

4) 3(х - 7) - (9 - 2х) = 2(12 - х) - (х - 10)

To solve this equation, we need to simplify each side by distributing and combining like terms.

First, on the left side we distribute the 3 to both terms inside the parentheses and combine like terms:
3х - 21 - 9 + 2х = 2х - 24 - х + 10

Simplifying this equation gives us:
5х - 30 = х - 14

Next, we need to move all terms containing х to one side of the equation by subtracting х from both sides:
5х - х - 30 = х - х - 14

Simplifying this equation gives us:
4х - 30 = -14

Next, we add 30 to both sides of the equation to isolate the term with х:
4х - 30 + 30 = -14 + 30

Simplifying this equation gives us:
4х = 16

Finally, we divide both sides of the equation by 4 to solve for х:
4х / 4 = 16 / 4
х = 4

Therefore, the solution to the equation is х = 4.

5) 4(0.6х - 0.3) - 3(0.7х - 0.1) = 0

To solve this equation, we distribute and combine like terms on both sides.

On the left side:
4(0.6х - 0.3) can be simplified to 2.4х - 1.2
-3(0.7х - 0.1) can be simplified to -2.1х + 0.3

So, the equation becomes:
2.4х - 1.2 - 2.1х + 0.3 = 0

Next, we combine like terms on both sides of the equation.
On the left side:
2.4х - 2.1х can be simplified to 0.3х
-1.2 + 0.3 can be simplified to -0.9

So, the equation becomes:
0.3х - 0.9 = 0

To isolate х, we need to move the constant term (-0.9) to the other side of the equation by adding 0.9 to both sides:
0.3х - 0.9 + 0.9 = 0 + 0.9

Simplifying this equation gives us:
0.3х = 0.9

Finally, we divide both sides of the equation by 0.3 to solve for х:
(0.3х) / 0.3 = (0.9) / 0.3
х = 3

Therefore, the solution to the equation is х = 3.

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