To solve the equation \( 74 = 0.8x + 10.5 \), follow these steps:

1. Subtract 10.5 from both sides to isolate the term with \(x\):
   \[
   74 - 10.5 = 0.8x
   \]
   \[
   63.5 = 0.8x
   \]

2. Divide both sides by 0.8 to solve for \(x\):
   \[
   x = \frac{63.5}{0.8}
   \]
   \[
   x = 79.375
   \]

Thus, the solution is \( x = 79.375 \).

Would you like more details or have any questions?

Here are 5 related questions to further explore:

1. How do you solve linear equations with fractions?
2. What happens when the coefficient of \(x\) is negative?
3. How do you graph linear equations?
4. How do you check the solution of a linear equation?
5. What is the significance of the slope in linear equations?

**Tip:** Always isolate the variable step by step by undoing operations in reverse order (addition first, then multiplication).

Explore how to solve the linear equation 74 = 0.8x + 10.5. This guide walks through isolating the variable step by step and includes a full breakdown of the algebraic process. Ideal for students in Grades 6-8 looking to strengthen their understanding of linear equations and algebraic operations.

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