Question - Expanding and Simplifying Algebraic Expression
Solution:
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: $$6x + 5$$
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