https://file.aiquickdraw.com/mathbot/file/1726670139824hel61bra.jpg

The equation given in the image is:

\[
x - 20 = 5(7x - 4)
\]

Let's solve it step by step:

1. **Distribute the 5** on the right side of the equation:
   \[
   x - 20 = 5 \times 7x - 5 \times 4
   \]
   \[
   x - 20 = 35x - 20
   \]

2. **Subtract 35x** from both sides to bring all the \(x\)-terms to one side:
   \[
   x - 35x = -20 + 20
   \]
   \[
   -34x = 0
   \]

3. **Solve for \(x\)**:
   \[
   x = 0
   \]

Thus, the solution is \(x = 0\).

Would you like more details or explanations?

Here are 5 related questions:
1. What would happen if the constant term on both sides of the equation was different?
2. How can we verify if \(x = 0\) is the correct solution?
3. What types of equations have "No Solution" or "Infinite Solutions"?
4. How do we handle equations with fractions in similar problems?
5. How can we solve quadratic equations, and how do they differ from linear ones?

**Tip**: Always distribute correctly and simplify terms on each side before solving the equation!

Learn how to solve the linear equation x - 20 = 5(7x - 4) step by step. This problem involves key algebraic concepts such as the distributive property and combining like terms, suitable for Grades 7-9.

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