https://file.aiquickdraw.com/mathbot/file/17273580164266d01kzmx.jpg

The equation in the image is:

\[
\frac{2}{4} - \left( x - \frac{2}{3} \right) = \frac{5}{6}
\]

Let's solve this step by step.

### Step 1: Simplify the fractions
\[
\frac{2}{4} = \frac{1}{2}
\]
So the equation becomes:
\[
\frac{1}{2} - \left( x - \frac{2}{3} \right) = \frac{5}{6}
\]

### Step 2: Eliminate the parentheses
\[
\frac{1}{2} - x + \frac{2}{3} = \frac{5}{6}
\]

### Step 3: Combine the fractions on the left-hand side
To combine \(\frac{1}{2}\) and \(\frac{2}{3}\), find a common denominator (6):
\[
\frac{1}{2} = \frac{3}{6}, \quad \frac{2}{3} = \frac{4}{6}
\]
Now add them:
\[
\frac{3}{6} + \frac{4}{6} = \frac{7}{6}
\]
So the equation becomes:
\[
\frac{7}{6} - x = \frac{5}{6}
\]

### Step 4: Isolate \(x\)
Subtract \(\frac{7}{6}\) from both sides:
\[
-x = \frac{5}{6} - \frac{7}{6} = -\frac{2}{6} = -\frac{1}{3}
\]
So:
\[
x = \frac{1}{3}
\]

### Final Solution:
\[
x = \frac{1}{3}
\]

Would you like more details or have any questions?

---

Here are 5 related questions to practice:

1. Solve for \(x\): \(\frac{3}{5} - (x - \frac{1}{4}) = \frac{7}{10}\)
2. Simplify: \(\frac{5}{8} + \frac{3}{4} - \frac{1}{2}\)
3. Solve for \(y\): \(y - \frac{4}{9} = \frac{2}{3}\)
4. Find \(x\) in the equation: \(x + \frac{5}{6} = \frac{11}{12}\)
5. Combine the fractions: \(\frac{2}{5} + \frac{3}{10}\)

### Tip:
When solving equations with fractions, always start by simplifying the fractions and finding a common denominator when adding or subtracting them!

Solve the equation: 2/4 - (x - 2/3) = 5/6

Learn how to solve the equation 2/4 - (x - 2/3) = 5/6 with a detailed step-by-step guide. This problem includes fraction operations and equation solving, perfect for students in grades 7-8.

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