Question

-7x+8=9x, -x+2=4x, -9x-8=-8x, -x-7=-5x, -5x+2=-10x, -2x+3=-8x, -4x=-10x-9, 6+3x=4x-1, -1+2x=10x+3, -4+3x=8x+5, 9+4x=8x-9

Answer 1

1) x = 1/2
2) x = 2/5
3) x = -8
4) x = 7/4
5) x = -2/5
6) x = -1/2
7) x = 9/14
8) x = 7
9) x = -1/2
10) x = -9/5
11) x = 9/2

Answer 2

Let's solve each of these equations one by one:

1. -7x + 8 = 9x

To solve this equation, let's isolate the variable x by moving all the x terms to one side and the constant terms to the other side:

-7x - 9x = -8

Combining the x terms:

-16x = -8

Now, divide both sides of the equation by -16 to solve for x:

x = (-8) / (-16) = 1/2

So the solution to the equation is x = 1/2.

2. -x + 2 = 4x

Rearranging the equation:

2 = 4x + x

Simplifying:

2 = 5x

Now, divide both sides by 5:

x = 2/5

The solution to the equation is x = 2/5.

3. -9x - 8 = -8x

Rearranging the equation:

-9x + 8x = 8

Combining the x terms:

-x = 8

Multiplying both sides by -1 to isolate x:

x = -8

So the solution to the equation is x = -8.

4. -x - 7 = -5x

Moving all the x terms to one side and the constant terms to the other side:

-4x = 7

Dividing both sides by -4:

x = -7/4

The solution to the equation is x = -7/4.

5. -5x + 2 = -10x

Rearranging the equation:

5x - 10x = -2

Combining the x terms:

-5x = -2

Dividing both sides by -5:

x = 2/5

So the solution to the equation is x = 2/5.

6. -2x + 3 = -8x

Rearranging the equation:

6x = 3

Dividing both sides by 6:

x = 1/2

The solution to the equation is x = 1/2.

7. -4x = -10x - 9

Adding 10x to both sides:

6x = -9

Dividing both sides by 6:

x = -9/6 = -3/2

So the solution to the equation is x = -3/2.

8. 6 + 3x = 4x - 1

Subtracting 3x from both sides and adding 1 to both sides:

6 + 1 = 4x - 3x

7 = x

The solution to the equation is x = 7.

9. -1 + 2x = 10x + 3

Subtracting 2x from both sides and subtracting 3 from both sides:

-1 - 3 = 10x - 2x

-4 = 8x

Dividing both sides by 8:

x = -4/8 = -1/2

The solution to the equation is x = -1/2.

10. -4 + 3x = 8x + 5

Subtracting 3x from both sides and subtracting 5 from both sides:

-4 - 5 = 8x - 3x

-9 = 5x

Dividing both sides by 5:

x = -9/5

The solution to the equation is x = -9/5.

11. 9 + 4x = 8x - 9

Subtracting 4x from both sides and adding 9 to both sides:

9 + 9 = 8x - 4x

18 = 4x

Dividing both sides by 4:

x = 18/4 = 9/2

The solution to the equation is x = 9/2.

So, the solutions for the given equations are:

1. x = 1/2
2. x = 2/5
3. x = -8
4. x = -7/4
5. x = 2/5
6. x = 1/2
7. x = -3/2
8. x = 7
9. x = -1/2
10. x = -9/5
11. x = 9/2