Question

1) 8 + 7x = 9x + 4 2)−4 − 6x = 4x – 3; 3) − 7 − 2x = − 6x + 10; 4) 2 + 3x = − 7x – 5; 5) 6(5 − x) = − 8x – 7; 6) −2(5 − 3x) = 7x + 3; 7) 8 - 5(2х - 3) = 13 - 6х 8) -х - 2 + 3(х - 3) =3(4 - х) - 3 9) 2 - 3(2х + 2) = 5 - 4х 10) 3х + 5 + (х + 5) = (1 - х) + 4

Answer 1

Ответ:

Пошаговое объяснение:

1) 8+7х=9х+4;  2х=4;  х=±2

2) -4-6х=4х-3;  10х=-1;  х=-0.1

3) -7-2х=-6х+10; х=17/4

4) -10х=7; х=0,7

Answer 2

1) 7х-9x=4-8
-2x=-4
x=2
2) -6x-4x=-3+4
-10x=1
x=-0,1
3) -2x+6x=10+7
4x=17
x=4,25
4) 3x+7x=-5-2
10x=-7
x=-0,7
5) 30-6x+8x=-7
2x=-37
x=-18,5
6) -10+6x-7x=3
-x=13
x=-13
7) 8-10x+15+6x=13
-4x=13-8-15
-4x=-10
x=2,5
8) -x-2+3x-9=12-3x-3
2x+3x=9+2+9
5x=20
x=4
9) 2-6x-6+4x=5
-2x=5+4
-2x=9
x=-4,5
10) 3x+5+x+5=1-x+4
4x+x=5-5-5
5x=-5
x=-1

Answer 3

To solve these equations, we'll perform the necessary steps to isolate the variable (x) on one side of the equation. Here are the solutions for each equation:

1. 8 + 7x = 9x + 4

Step 1: Move the x terms to one side and the constants to the other side. 8 + 7x - 7x = 9x - 7x + 4 8 = 2x + 4

Step 2: Move the constant to the other side. 8 - 4 = 2x + 4 - 4 4 = 2x

Step 3: Isolate x by dividing both sides by 2. x = 4 / 2 x = 2

2. -4 - 6x = 4x - 3

Step 1: Move the x terms to one side and the constants to the other side. -4 - 6x - 4x = 4x - 4x - 3 -4 - 10x = -3

Step 2: Move the constant to the other side. -4 + 3 = -3 + 10x -1 = 10x

Step 3: Isolate x by dividing both sides by 10. x = -1 / 10 x = -0.1

3. -7 - 2x = -6x + 10

Step 1: Move the x terms to one side and the constants to the other side. -7 - 2x + 6x = -6x + 6x + 10 -7 + 4x = 10

Step 2: Move the constant to the other side. 4x = 10 + 7 4x = 17

Step 3: Isolate x by dividing both sides by 4. x = 17 / 4

4. 2 + 3x = -7x - 5

Step 1: Move the x terms to one side and the constants to the other side. 2 + 3x + 7x = -7x + 7x - 5 2 + 10x = -5

Step 2: Move the constant to the other side. 10x = -5 - 2 10x = -7

Step 3: Isolate x by dividing both sides by 10. x = -7 / 10

5. 6(5 - x) = -8x - 7

Step 1: Distribute the 6 on the left side of the equation. 30 - 6x = -8x - 7

Step 2: Move the x terms to one side and the constants to the other side. 30 - 6x + 8x = -8x + 8x - 7 30 + 2x = -7

Step 3: Move the constant to the other side. 2x = -7 - 30 2x = -37

Step 4: Isolate x by dividing both sides by 2. x = -37 / 2

6. -2(5 - 3x) = 7x + 3

Step 1: Distribute the -2 on the left side of the equation. -10 + 6x = 7x + 3

Step 2: Move the x terms to one side and the constants to the other side. -10 + 6x - 7x = 7x - 7x + 3 -10 - x = 3

Step 3: Move the constant to the other side. -x = 3 + 10 -x = 13

Step 4: Multiply both sides by -1 to isolate x. x = -13

7. 8 - 5(2x - 3) = 13 - 6x

Step 1: Distribute the -5 on the left side of the equation. 8 - 10x + 15 = 13 - 6x

Step 2: Move the x terms to one side and the constants to the other side. 8 - 10x + 6x = 13 - 6x + 10x 8 - 4x = 13 + 4x

Step 3: Move the constant to the other side. 8 - 13 = 4x + 4x -5 = 8x

Step 4: Isolate x by dividing both sides by 8. x = -5 / 8

8. -x - 2 + 3(x - 3) = 3(4 - x) - 3

Step 1: Distribute the 3 on the left side and the 3 on the right side of the equation. -x - 2 + 3x - 9 = 12 - 3x - 3

Step 2: Combine like terms on each side. 2x - 11 = 9 - 3x

Step 3: Move the x terms to one side and the constants to the other side. 2x + 3x = 9 + 11 5x = 20

Step 4: Isolate x by dividing both sides by 5. x = 20 / 5 x = 4

9. 2 - 3(2x + 2) = 5 - 4x

Step 1: Distribute the -3 on the left side of the equation. 2 - 6x - 6 = 5 - 4x

Step 2: Combine like terms on each side. -6x - 4 = -4x + 5

Step 3: Move the x terms to one side and the constants to the other side. -6x + 4x = 5 + 4 -2x = 9

Step 4: Isolate x by dividing both sides by -2. x = 9 / -2 x = -4.5

10. 3x + 5 + (x + 5) = (1 - x) + 4

Step 1: Simplify the equation by performing the operations inside the parentheses. 3x + 5 + x + 5 = 1 - x + 4

Step 2: Combine like terms on each side. 4x + 10 = 5 - x

Step 3: Move the x terms to one side and the constants to the other side. 4x + x = 5 - 10 5x = -5

Step 4: Isolate x by dividing both sides by 5. x = -5 / 5 x = -1

So the solutions to the given equations are as follows:

1. x = 2
2. x = -0.1
3. x = 17/4
4. x = -7/10
5. x = -37/2
6. x = -13
7. x = -5/8
8. x = 4
9. x = -4.5
10. x = -1