To solve the equation \(7x - 5 = 3\), we need to isolate \(x\). Here are the steps:

1. **Add 5 to both sides** of the equation to get rid of the \(-5\):
   \[
   7x - 5 + 5 = 3 + 5
   \]
   Simplifying this, we get:
   \[
   7x = 8
   \]

2. **Divide both sides** by 7 to solve for \(x\):
   \[
   x = \frac{8}{7}
   \]

So, the solution to the equation \(7x - 5 = 3\) is:
\[
x = \frac{8}{7}
\]

Would you like more details or have any questions? Here are some other questions you might consider:

1. How do you solve a system of equations using the substitution method?
2. Can you explain how to find the area under a curve using integration?
3. What is the method for factoring a polynomial?
4. How do you solve an equation with absolute values?
5. Can you explain the Pythagorean theorem and its applications?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Discover how to solve the linear equation 7x - 5 = 3 with a clear, step-by-step solution. This guide covers the basics of solving linear equations, including isolating the variable and simplifying. Ideal for students in Grades 6-8.

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