Question

compare the solution of each question to 0. determine if the solution is less than 0, equal to 0, or greater than 0

9x - 8 = -8

-24 = 6 + -3x

x/8 + 7 = -9

Answer 1

solve for x. 3x - 21 = 14 - 4x

Answer 2

To compare the solution of each question to 0, we need to solve each equation and determine whether the solution is less than 0, equal to 0, or greater than 0.

1) 9x - 8 = -8

Adding 8 to both sides, we have:

9x = 0

Dividing both sides by 9, we get:

x = 0

The solution, x = 0, is equal to 0.

2) -24 = 6 + -3x

Subtracting 6 from both sides, we have:

-30 = -3x

Dividing both sides by -3 (or multiplying both sides by -1/3), we get:

10 = x

The solution, x = 10, is greater than 0.

3) x/8 + 7 = -9

Subtracting 7 from both sides, we have:

x/8 = -16

Multiplying both sides by 8, we get:

x = -128

The solution, x = -128, is less than 0.

Answer 3

To solve for x in the equation 3x - 21 = 14 - 4x, we will combine like terms and isolate the variable.

First, we can combine the x terms by adding 4x to both sides:

3x + 4x - 21 = 14 - 4x + 4x

This simplifies to:

7x - 21 = 14

Next, we can isolate the variable by adding 21 to both sides:

7x - 21 + 21 = 14 + 21

This simplifies to:

7x = 35

Finally, we solve for x by dividing both sides by 7:

(7x)/7 = 35/7

This simplifies to:

x = 5

Therefore, the solution to the equation is x = 5.