Question

36−3x=4+5x x= 5−2x=11−3x x= 2−3x=30−7x x= 9x−4=2x−25 x= 2x+4=−x−5 x= 5−3x=29+3x x= 6−x=26+3x x= 5x−12=4x−12 x=

Answer 1

36-3х=4+5х
32=8х
Х=4

5-2х=11-3х
Х=6

2-3х=30-7х
4х=28
Х=7

9х-4=2х-25
7х=-21
Х=-3

2х+4=-х-5
3х=-9
Х=-3

5-3х=29+3х
-6х=24
Х=-4

6-х=26+3х
-4х=20
Х=-5

5х-12=4х-12
Х=0

Answer 2

To solve each of these equations for x, we will apply various algebraic techniques to isolate x on one side of the equation. Here are the solutions to each equation:

1. 36 - 3x = 4 + 5x Simplifying both sides, we get: 32 = 8x Dividing both sides by 8, we get: x = 4

2. 5 - 2x = 11 - 3x Adding 3x to both sides, we get: 5 + x = 11 Subtracting 5 from both sides, we get: x = 6

3. 2 - 3x = 30 - 7x Adding 7x to both sides, we get: 2 + 4x = 30 Subtracting 2 from both sides, we get: 4x = 28 Dividing both sides by 4, we get: x = 7

4. 9x - 4 = 2x - 25 Subtracting 2x from both sides, we get: 7x - 4 = -25 Adding 4 to both sides, we get: 7x = -21 Dividing both sides by 7, we get: x = -3

5. 2x + 4 = -x - 5 Adding x to both sides, we get: 3x + 4 = -5 Subtracting 4 from both sides, we get: 3x = -9 Dividing both sides by 3, we get: x = -3

6. 5 - 3x = 29 + 3x Adding 3x to both sides, we get: 5 = 6x + 29 Subtracting 29 from both sides, we get: -24 = 6x Dividing both sides by 6, we get: x = -4

7. 6 - x = 26 + 3x Adding x to both sides, we get: 6 = 4x + 26 Subtracting 26 from both sides, we get: -20 = 4x Dividing both sides by 4, we get: x = -5

8. 5x - 12 = 4x - 12 Subtracting 4x from both sides, we get: x - 12 = -12 Adding 12 to both sides, we get: x = 0

Therefore, the solutions to each equation are:

1. x = 4
2. x = 6
3. x = 7
4. x = -3
5. x = -3
6. x = -4
7. x = -5
8. x = 0