To solve the equation 2(3x - 4) + 1 = 5, we will follow the order of operations (PEMDAS) which is Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction in that order.
First, we will simplify the expression inside the parentheses.
2(3x - 4) + 1 = 5
6x - 8 + 1 = 5
6x - 7 = 5
Next, we will isolate the variable term by adding 7 to both sides of the equation.
6x - 7 + 7 = 5 + 7
6x = 12
Finally, we will solve for x by dividing both sides by 6.
6x/6 = 12/6
x = 2
Therefore, the solution to the equation 2(3x - 4) + 1 = 5 is x = 2.