https://file.aiquickdraw.com/mathbot/file/1728506038239cze7h41m.jpg

The equation in the image is:

\[
\frac{5 - x}{2} = 2x - 7
\]

Let's solve it step by step.

### Step 1: Eliminate the fraction by multiplying both sides of the equation by 2.
\[
2 \times \frac{5 - x}{2} = 2 \times (2x - 7)
\]
This simplifies to:
\[
5 - x = 4x - 14
\]

### Step 2: Move all the terms involving \(x\) to one side and constants to the other.
\[
5 + 14 = 4x + x
\]
Simplifying:
\[
19 = 5x
\]

### Step 3: Solve for \(x\).
\[
x = \frac{19}{5}
\]
\[
x = 3.8
\]

So, the solution is \(x = 3.8\).

Do you want further details or have any questions?

### Related Questions:
1. How do you solve equations involving fractions?
2. What happens if the variable appears on both sides of the equation?
3. Can you always eliminate fractions by multiplying both sides?
4. How would the solution change if we had a different coefficient for \(x\)?
5. How can you verify the solution to an equation?

### Tip:
Always check your final answer by substituting it back into the original equation!

This solution walks through the steps of solving the linear equation (5 - x) / 2 = 2x - 7. Learn key algebra concepts like isolating variables and eliminating fractions, suitable for students in Grades 8-10.

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