Question

Solve the equation. Solve on paper and then enter your answer on Zearn. What is the value of x? You can write your answer as a fraction, or as a decimal rounded to the hundredths place.
4−5x
=
3+x
x
=

Answer 1

To solve the equation \( 4 - 5x = 3 + x \), follow these steps:

1. **Isolate the variables**: Start by getting all terms involving \( x \) on one side and constant terms on the other side.

First, add \( 5x \) to both sides:
\[
4 = 3 + x + 5x
\]
This simplifies to:
\[
4 = 3 + 6x
\]

2. **Subtract 3 from both sides**:
\[
4 - 3 = 6x
\]
This simplifies to:
\[
1 = 6x
\]

3. **Solve for \( x \)**: Divide both sides by 6:
\[
x = \frac{1}{6}
\]

4. **Convert to decimal (optional)**: If you need the decimal rounded to the hundredths place:
\[
x \approx 0.17
\]

So the solution to the equation \( 4 - 5x = 3 + x \) is:
- As a fraction: \( \frac{1}{6} \)
- As a decimal (rounded to the hundredths place): \( 0.17 \)

You can enter either \( \frac{1}{6} \) or \( 0.17 \) into Zearn as your answer.