Let's solve the equation step by step:

The equation is:

\[
3 \times 5 - 7 \times 5 + 10 = 80
\]

1. First, calculate the products:

\[
15 - 35 + 10 = 80
\]

2. Next, simplify by combining the terms on the left-hand side:

\[
(15 - 35) + 10 = 80
\]

\[
-20 + 10 = 80
\]

3. Finally, simplify further:

\[
-10 \neq 80
\]

The left-hand side equals \(-10\), which does not equal \(80\). This suggests that there is no solution to the equation as it stands, or there may have been a mistake in the setup.

Would you like to go over any details, or do you have any questions about the steps?

Here are 5 related questions:
1. How do you solve linear equations with multiple variables?
2. What happens when you have no solution in an equation?
3. Can you explain how to check for errors in equations?
4. What are the steps to simplify complex algebraic expressions?
5. How do you apply the distributive property in equations?

**Tip:** When solving equations, always double-check your work by substituting the solution back into the original equation to verify the result.

Understand how to solve the arithmetic equation 3x5-7x5 +10=80 through a step-by-step solution. This problem involves basic arithmetic operations including multiplication, addition, and subtraction. Suitable for students in Grades 5-7.

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