Question

-2x-7=-4x x-x/12=11/3 -4+7x=8x+1 4x+3=-2x-5 -4x+7=5x+1 С объяснением, пожалуйста.

Answer 1

-2x-7=-4x
-2х+4х=7
2х=7
Х=7:2
Х=3,5

x-x/12=11/3
12х-х=44
11х=44
Х=44:11
Х=4

-4+7x=8x+1
7х-8х=1+4
-х=5
Х=-5

4x+3=-2x-5
4х+2х=-5-3
6х=-8
Х=-8:6
Х=-1 1/3

-4x+7=5x+1
-4х-5х=1-7
-9х=-6
Х=-6:(-9)
Х=2/3

Answer 2

Let's solve each equation step-by-step and explain the process for each one:

1. -2x - 7 = -4x

To solve this equation, we want to get all the x terms on one side and constants on the other side.

Add 4x to both sides: -2x + 4x - 7 = -4x + 4x

Simplify the left side: 2x - 7 = 0

Now, add 7 to both sides to isolate the variable x: 2x - 7 + 7 = 0 + 7

Simplify: 2x = 7

Finally, divide both sides by 2 to find the value of x: x = 7/2

2. x - x/12 = 11/3

To solve this equation, we first want to get rid of the fraction. Multiply both sides by 12 to eliminate the fraction:

12(x) - x = 11/3 * 12

Simplify the right side: 12x - x = 44

Now, combine the x terms: 11x = 44

To find the value of x, divide both sides by 11: x = 44/11

Simplify: x = 4

3. -4 + 7x = 8x + 1

To solve this equation, we want to get all the x terms on one side and constants on the other side.

Subtract 7x from both sides: -4 + 7x - 7x = 8x - 7x + 1

Simplify the left side: -4 = x + 1

Now, subtract 1 from both sides to isolate the variable x: -4 - 1 = x + 1 - 1

Simplify: -5 = x

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

To solve this equation, we want to get all the x terms on one side and constants on the other side.

Add 2x to both sides: 4x + 2x + 3 = -2x + 2x - 5

Simplify the left side: 6x + 3 = -5

Now, subtract 3 from both sides to isolate the variable x: 6x + 3 - 3 = -5 - 3

Simplify: 6x = -8

Finally, divide both sides by 6 to find the value of x: x = -8/6

Simplify: x = -4/3

5. -4x + 7 = 5x + 1

To solve this equation, we want to get all the x terms on one side and constants on the other side.

Subtract 5x from both sides: -4x - 5x + 7 = 5x - 5x + 1

Simplify the left side: -9x + 7 = 1

Now, subtract 7 from both sides to isolate the variable x: -9x + 7 - 7 = 1 - 7

Simplify: -9x = -6

Finally, divide both sides by -9 to find the value of x: x = -(-6)/9

Simplify: x = 2/3

So, the solutions to the given equations are:

1. x = 7/2
2. x = 4
3. x = -5
4. x = -4/3
5. x = 2/3