Example Question - expand brackets

Expanding and Simplifying Algebraic Expression

To expand the brackets and simplify the expression \(2(3x - 7) + 19\), we will first distribute the 2 through the terms inside the parenthesis and then combine like terms. Here are the steps: 1. Distribute the 2 to both terms inside the brackets: \(2 \times 3x\) and \(2 \times -7\). \(2(3x) = 6x\) \(2(-7) = -14\) 2. Combine these results with the remaining term outside the brackets: \(6x - 14 + 19\) 3. Simplify the constant terms \(-14\) and \(+19\) by adding them together: \(-14 + 19 = 5\) Put it all together, and the simplified expression is: \(6x + 5\)