To solve the equation \( 4 = \frac{-4}{5} + x \), we can follow these steps:

### Step 1: Isolate \( x \)
We want to get \( x \) by itself, so we first need to eliminate the fraction on the right side.

\[
4 = \frac{-4}{5} + x
\]

Add \( \frac{4}{5} \) to both sides of the equation to cancel it on the right:

\[
4 + \frac{4}{5} = x
\]

### Step 2: Simplify the left-hand side
To add \( 4 \) and \( \frac{4}{5} \), we first convert \( 4 \) into a fraction with the same denominator:

\[
4 = \frac{20}{5}
\]

Now add \( \frac{20}{5} \) and \( \frac{4}{5} \):

\[
\frac{20}{5} + \frac{4}{5} = \frac{24}{5}
\]

### Final Answer:
\[
x = \frac{24}{5}
\]
or, in decimal form:
\[
x = 4.8
\]

Would you like more details or further explanation on any part?

Here are 5 related questions to expand on this:

1. How do you solve equations with fractions on both sides?
2. What happens when variables appear on both sides of the equation?
3. How can you convert mixed numbers into improper fractions to simplify addition?
4. How can you handle equations involving multiplication with fractions?
5. What are common methods for checking your solution in an equation?

**Tip:** Always check your solution by substituting the value of \( x \) back into the original equation!

Learn how to solve the linear equation 4 = -4/5 + x with a clear, step-by-step guide. This problem highlights key algebraic concepts such as isolating variables and adding fractions. Suitable for students in Grades 6-8.

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