We can solve the equation \( 12h - 3 = 32 - 3h \) by following these steps:

### Step 1: Add \( 3h \) to both sides to move all terms involving \( h \) to one side.
\[
12h + 3h - 3 = 32
\]
\[
15h - 3 = 32
\]

### Step 2: Add 3 to both sides to move constants to the right side.
\[
15h = 32 + 3
\]
\[
15h = 35
\]

### Step 3: Divide both sides by 15 to solve for \( h \).
\[
h = \frac{35}{15} = \frac{7}{3}
\]

Thus, the solution is \( h = \frac{7}{3} \).

Would you like a detailed explanation of any step?

Here are 5 related questions:
1. How do you solve equations with variables on both sides?
2. What happens if the equation has no solution?
3. Can you show an example with more complex fractions?
4. How do you check if the solution is correct?
5. What if the equation had decimals instead of integers?

**Tip:** Always simplify your equation step by step, isolating the variable gradually for clarity.

Learn how to solve the linear equation 12h - 3 = 32 - 3h with a clear step-by-step solution. This problem explores key algebraic concepts, such as solving equations with variables on both sides. Ideal 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