To solve the equation \( x + 3 = \frac{\sqrt{3}}{2} \):

### Step 1: Isolate \( x \)
Subtract 3 from both sides of the equation:

\[
x = \frac{\sqrt{3}}{2} - 3
\]

### Step 2: Simplify the right-hand side
We need to express 3 as a fraction with the same denominator as \( \frac{\sqrt{3}}{2} \), which is 2. To do that, rewrite 3 as \( \frac{6}{2} \):

\[
x = \frac{\sqrt{3}}{2} - \frac{6}{2}
\]

### Step 3: Combine the fractions
Since the denominators are the same, combine the numerators:

\[
x = \frac{\sqrt{3} - 6}{2}
\]

This is the simplified expression for \( x \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the value of \( \sqrt{3} \) approximately?
2. How do you solve quadratic equations involving square roots?
3. Can this method be applied to solve equations with other roots?
4. How would you solve \( x + \sqrt{2} = \frac{1}{3} \)?
5. How can you check your solution for accuracy?

**Tip:** Always ensure denominators are the same when combining fractions.

Learn how to solve the linear equation x + 3 = sqrt(3)/2 by isolating x and simplifying fractions. This step-by-step guide covers key algebraic concepts, including square roots and fraction operations. Suitable for students in Grades 8-10.

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