Suppose that you were to solve this problem by the following method:

Part B

The answer here, [tex]x=7[/tex], is not in the interval that you selected in the previous part. What is wrong with the work shown above?

1. In the first step, both terms on the left should be divided by 4.
2. To correct the work shown before Part B:
- In the first step, [tex]60 / 4[/tex] should yield 15, not 16.
- In the last step, 15 should be subtracted from each side.
- In the last step, the value 8 should be added rather than subtracted.

[tex]
\[
\begin{array}{l}
\frac{4x}{4} + 8 = \frac{60}{4} \\
x + 8 = 15 \\
-8 \quad -8 \\
x = 7.
\end{array}
\]
[/tex]

Let's solve the problem step-by-step:

Given equation:
[tex]\[ \frac{4x}{4} + 8 = \frac{60}{4} \][/tex]

Step 1: Simplify both sides of the equation.

First, simplify the right-hand side:
[tex]\[ \frac{60}{4} = 15 \][/tex]
So the equation becomes:
[tex]\[ x + 8 = 15 \][/tex]

Step 2: Solve for [tex]$ x $[/tex].

To isolate [tex]$ x $[/tex], subtract 8 from both sides of the equation:
[tex]\[ x + 8 - 8 = 15 - 8 \][/tex]
[tex]\[ x = 7 \][/tex]

Summary:

- We simplified the initial equation by dividing 60 by 4.
- Then, we subtracted 8 from both sides to isolate [tex]$ x $[/tex].

The solution is:
[tex]\[ x = 7 \][/tex]

This means our calculation is done correctly. [tex]$ x = 7 $[/tex] is the correct solution.