Question

Look at the work shown below to solve 7x - 4 = -18.
If the work shown is correct = TRUE
If the work shown is incorrect = FALSE
》
• True
• False

Answer 1

To solve the equation \( 7x - 4 = -18 \), let's go through the steps:

1. Start with the original equation:
\[
7x - 4 = -18
\]

2. Add 4 to both sides to isolate the term with \( x \):
\[
7x = -18 + 4
\]
\[
7x = -14
\]

3. Now, divide both sides by 7 to solve for \( x \):
\[
x = \frac{-14}{7}
\]
\[
x = -2
\]

Now, let’s check if the work is correct:

Starting from \( 7x - 4 = -18 \):
- After adding 4, we should have \( 7x = -14 \), which is correct.
- After dividing by 7, we get \( x = -2 \), which is also correct.

Therefore, based on the steps shown in solving the equation, if the work presented followed these steps correctly, you would mark it as TRUE.

So, if the work shown is correct, the answer is:
**TRUE**.