Let's solve the equation:

\[
5x + \frac{b}{12} = \frac{5}{6}
\]

### Step-by-step solution:

1. **Eliminate the fraction involving \( \frac{b}{12} \)**:
   To simplify, multiply the entire equation by 12 to remove the denominators.

   \[
   12 \times \left( 5x + \frac{b}{12} \right) = 12 \times \frac{5}{6}
   \]

   This gives us:

   \[
   60x + b = 10
   \]

2. **Isolate \( 60x \)**:
   Subtract \( b \) from both sides to isolate the \( 60x \) term.

   \[
   60x = 10 - b
   \]

3. **Solve for \( x \)**:
   Divide both sides by 60 to solve for \( x \).

   \[
   x = \frac{10 - b}{60}
   \]

So, the solution for \( x \) is:

\[
x = \frac{10 - b}{60}
\]

---

Would you like more details on a particular step or have any questions?

### 5 Related Questions:
1. How do we handle equations with multiple fractions?
2. How can you simplify an equation with fractions on both sides?
3. What happens if \( b = 10 \) in this equation?
4. How do you solve equations with variables on both sides?
5. How do you check if your solution for \( x \) is correct?

**Tip:** When solving equations with fractions, multiplying through by the least common denominator (LCD) is a great way to eliminate fractions early in the process.

Learn how to solve the linear equation 5x + b/12 = 5/6 with a clear, step-by-step approach. This problem involves eliminating fractions and isolating variables, perfect for students in Grades 7-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation