Problem 17 - Algebra 1

Question

Solve the equation. $$3 x-1=8$$

Step-by-Step Solution

Answer

The solution of the equation \(3 x-1=8\) is \(x = 3\).

Step 1: Isolate the Expression with the Variable

To start solving for x, isolate the term containing x on one side of the equation. This can be done by adding 1 to both sides of the equation. The result is: \(3 x = 8 + 1\).

Step 2: Calculate the Addition

Proceed to add numbers on the right side of the equation. This gives: \(3 x = 9\).

Step 3: Simplify the Equation

Lastly, to get the variable x by itself, divide both sides of the equation by 3. That results in: \(x = 9/3\).