Question

1. 9(x-5)= - x. 2. 6(5 − x) = − 8x − 7. 3. 9(x − 6) = 4x. 4. 10(x + 4) = 9x. 5. 4(x − 7) = 3x. 6.5(x − 7) = 9x. 7.3(x − 8) = 5x.

Answer 1

1) X= 9/2

2) X= -37/2

3) X= 54/5

4) X= -40

5) X= 28

6) X= -35/4

7) X= -12

Answer 2

It looks like you've provided a list of linear equations. You can solve these equations by isolating the variable (x) on one side of the equation. I'll go through each equation and solve for x:

1. 9(x - 5) = -x Distribute on the left side: 9x - 45 = -x Add x to both sides: 10x - 45 = 0 Add 45 to both sides: 10x = 45 Divide by 10: x = 4.5

2. 6(5 - x) = -8x - 7 Distribute on the left side: 30 - 6x = -8x - 7 Add 8x to both sides: 30 + 2x = -7 Subtract 30 from both sides: 2x = -37 Divide by 2: x = -18.5

3. 9(x - 6) = 4x Distribute on the left side: 9x - 54 = 4x Subtract 4x from both sides: 5x - 54 = 0 Add 54 to both sides: 5x = 54 Divide by 5: x = 10.8

4. 10(x + 4) = 9x Distribute on the left side: 10x + 40 = 9x Subtract 9x from both sides: x + 40 = 0 Subtract 40 from both sides: x = -40

5. 4(x - 7) = 3x Distribute on the left side: 4x - 28 = 3x Subtract 3x from both sides: x - 28 = 0 Add 28 to both sides: x = 28

6. 5(x - 7) = 9x Distribute on the left side: 5x - 35 = 9x Subtract 5x from both sides: -35 = 4x Divide by 4: x = -8.75

7. 3(x - 8) = 5x Distribute on the left side: 3x - 24 = 5x Subtract 3x from both sides: -24 = 2x Divide by 2: x = -12

So, the solutions for each equation are:

1. x = 4.5
2. x = -18.5
3. x = 10.8
4. x = -40
5. x = 28
6. x = -8.75
7. x = -12