To solve the equation \( \frac{2}{3}x - 7 = 5 \), follow these steps:

1. **Add 7 to both sides** of the equation to isolate the term with \( x \) on one side:
   \[
   \frac{2}{3}x = 12
   \]

2. **Multiply both sides by the reciprocal of \( \frac{2}{3} \)** to solve for \( x \):
   \[
   x = 12 \times \frac{3}{2}
   \]
   \[
   x = 18
   \]

So, the solution is \( x = 18 \).

Would you like more details, or do you have any questions about this process?

Here are five related questions:
1. How do you solve the equation \( \frac{3}{4}x - 5 = 7 \)?
2. What happens if the equation is \( \frac{2}{3}x + 7 = 5 \) instead?
3. How would you solve \( \frac{2}{3}x - 7 = 0 \)?
4. What if the equation had a fraction on both sides, like \( \frac{2}{3}x = \frac{5}{4} \)?
5. How do you solve for \( x \) if the equation is \( 2x - 7 = 5 \)?

**Tip:** Always perform the same operation on both sides of an equation to keep it balanced.

Learn how to solve the equation 2/3x - 7 = 5 with a detailed step-by-step solution. This problem involves algebraic equations and fractions, and covers key concepts like equation solving and multiplying fractions. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation