Question

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

Short answer

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

Step-by-step solution

Isolate the term with x

The first step in solving the equation \(3x - 1 = 8\) is to isolate the term with x by getting rid of the number (-1) next to it. This can be done by adding 1 on both sides of the equation. This will result in the equation: \(3x = 8 + 1\).

Perform the addition

Performing the addition on the right side of the equation gives us: \(3x = 9\).

Divide by the coefficient of x

Finally, we divide both sides of the equation by the coefficient of x which is 3 to get the value of x: \(x = 9 / 3\).