Question

Simplify the expression. $$(2 x-1)(2)+x$$

Short answer

The simplified expression is \(5x - 2\).

Step-by-step solution

Apply the Distributive Property

First, distribute the 2 inside the parentheses to both 2x and -1. This involves multiplication: \(2 * 2x\) and \(2 * -1\).

Calculate the Multiplication

After multiplication, the expression becomes \(4x - 2 + x\)

Combine Like Terms

Now, combine the terms involving x together. This involves addition: \(4x + x\)

Final Calculation

Finally, add \(4x\) and \(x\) together to get the simplified expression.