Question

1)2х - 4 = - 6х - 20 2)- 4х - 7 = 2х + 15 3)7х + 12 = -10х - 3 4)33 - 5,5х = -15 - 8х 5)-24 + 3х = 9х + 18

Answer 1

1) 8x= -16
x= - 2
2)- 6x=22
x= -3.6
3)17x= -15
x=0.9

Answer 2

To solve each of these linear equations for x, you'll need to isolate x on one side of the equation. Here's the step-by-step solution for each of the equations:

1. 2x - 4 = -6x - 20

First, let's get the variable terms (x) on one side and the constant terms on the other side:

Add 6x to both sides: 2x + 6x - 4 = -20

Combine like terms: 8x - 4 = -20

Now, add 4 to both sides to isolate the x term: 8x - 4 + 4 = -20 + 4 8x = -16

Finally, divide by 8 to find x: 8x/8 = -16/8 x = -2

2. -4x - 7 = 2x + 15

First, let's get the variable terms (x) on one side and the constant terms on the other side:

Subtract 2x from both sides: -4x - 2x - 7 = 15

Combine like terms: -6x - 7 = 15

Now, add 7 to both sides to isolate the x term: -6x - 7 + 7 = 15 + 7 -6x = 22

Finally, divide by -6 to find x: -6x/(-6) = 22/(-6) x = -22/6 (which can be simplified to -11/3)

3. 7x + 12 = -10x - 3

First, let's get the variable terms (x) on one side and the constant terms on the other side:

Add 10x to both sides: 7x + 10x + 12 = -3

Combine like terms: 17x + 12 = -3

Now, subtract 12 from both sides to isolate the x term: 17x + 12 - 12 = -3 - 12 17x = -15

Finally, divide by 17 to find x: 17x/17 = -15/17 x = -15/17

4. 33 - 5.5x = -15 - 8x

First, let's get the variable terms (x) on one side and the constant terms on the other side:

Add 8x to both sides: 33 - 5.5x + 8x = -15

Combine like terms: 33 + 2.5x = -15

Now, subtract 33 from both sides to isolate the x term: 33 - 33 + 2.5x = -15 - 33 2.5x = -48

Finally, divide by 2.5 to find x: 2.5x/2.5 = -48/2.5 x = -48/2.5 (which can be simplified)

5. -24 + 3x = 9x + 18

First, let's get the variable terms (x) on one side and the constant terms on the other side:

Subtract 9x from both sides: -24 + 3x - 9x = 18

Combine like terms: -6x - 24 = 18

Now, add 24 to both sides to isolate the x term: -6x - 24 + 24 = 18 + 24 -6x = 42

Finally, divide by -6 to find x: -6x/(-6) = 42/(-6) x = -7