Question

Based on the descriptions of the manipulations and the final equation, recreate the solution using 'x' as your variable.

1. ??? (Initial equation or value)
2. ??? Add 6x
3. ??? Add 4
4. ??? Divide by 5
5. < - - < - - - - - - • - > (Final equation)
6. -2 (Result)

Answer 1

To recreate the equation based on manipulations leading to a final result of -2, the initial equation before the manipulations is found to be -14 - 6x.

Step-by-step explanation:

We need to recreate the solution to a mathematical manipulation based on the steps given and the final result. Starting with the final step, we have a result of -2 when the final equation is divided by 5. To find the equation before division, we multiply -2 by 5, which gives us -10.

Then, to reverse the step of adding 4, we subtract 4 from -10, resulting in -14. Similarly, to reverse adding 6x, we subtract 6x from -14, obtaining -14 - 6x as the initial expression. This is the manipulated expression before any steps were applied.

To confirm:

• We start with the equation -14 - 6x.
• We add 6x: -14 - 6x + 6x = -14.
• Then add 4: -14 + 4 = -10.
• And finally, divide by 5: -10 / 5 = -2.

The initial equation is therefore -14 - 6x.