https://file.aiquickdraw.com/mathbot/file/1727067220985izj3ke47.jpg

The equation presented is:

\[
\frac{5}{6x} - 1 = 3
\]

Let's solve for \( x \).

### Step 1: Isolate the fraction term
Add 1 to both sides:

\[
\frac{5}{6x} = 3 + 1
\]

\[
\frac{5}{6x} = 4
\]

### Step 2: Eliminate the denominator
Multiply both sides of the equation by \( 6x \) to get rid of the fraction:

\[
5 = 4 \cdot 6x
\]

\[
5 = 24x
\]

### Step 3: Solve for \( x \)
Divide both sides by 24:

\[
x = \frac{5}{24}
\]

Thus, the solution is:

\[
x = \frac{5}{24}
\]

Let me know if you'd like more details or have any questions!

---

Here are five related questions to practice:

1. Solve \(\frac{3}{4x} - 2 = 5\) for \(x\).
2. Solve \(\frac{7}{5x} + 1 = 6\) for \(x\).
3. If \(\frac{2}{3x} - 4 = 2\), what is \(x\)?
4. Solve \(\frac{9}{2x} - 3 = 6\) for \(x\).
5. Solve \(\frac{4}{x} - 7 = 9\) for \(x\).

**Tip:** When solving equations with fractions, clearing the fraction by multiplying both sides by the denominator simplifies the process.

Learn how to solve the algebraic equation 5/(6x) - 1 = 3 with a step-by-step solution. This problem involves simplifying and solving for the unknown variable x. 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