Question

Solve the equation:

34(x−8)=−12.

Select the correct response:

a. x=−263
b. x equals the negative fraction 26/3
c. x=10
d. x=223
e. x equals the fraction 22/3
f. I don't know.

Answer 1

The process to solve 34(x−8)=−12 involves dividing by 34 and adding 8, resulting in x = 7.64705882353, which is not one of the provided options. This indicates a possible error in the options or the equation itself.

Step-by-step explanation:

To solve the equation 34(x−8)=−12, first you need to divide both sides by 34 to isolate the variable x on one side. This gives us:

x - 8 = −12 / 34

x - 8 = −0.35294117647

Then, add 8 to both sides to solve for x:

x = −0.35294117647 + 8

x = 7.64705882353

However, this result is not listed in the given options. The correct process was used, but the solution provided does not match the available choices, indicating there might be an error in the given options or the initial equation.