Let's solve the equation:

\[
\frac{x}{3} + 7 = 2x
\]

### Step 1: Eliminate the fraction
Multiply both sides of the equation by 3 to get rid of the denominator.

\[
x + 21 = 6x
\]

### Step 2: Move all terms involving \(x\) to one side
Subtract \(x\) from both sides of the equation:

\[
21 = 5x
\]

### Step 3: Solve for \(x\)
Now, divide both sides by 5:

\[
x = \frac{21}{5}
\]

So, the solution is:

\[
x = 4.2
\]

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

Here are 5 related questions to explore:
1. How do you solve an equation with multiple fractions?
2. What happens if we multiply both sides of an equation by a negative number?
3. Can we solve quadratic equations in a similar way?
4. How do you verify if the solution to an equation is correct?
5. What are some common mistakes to avoid when solving linear equations?

**Tip:** Always try to eliminate fractions early when solving equations to simplify your calculations.

Discover how to solve the linear equation x/3 + 7 = 2x with a step-by-step solution. This problem explains key algebraic concepts, such as eliminating fractions and balancing equations, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation