Select True or False.
The expression 5x − 3(2x − 4) is equivalent to the expression 12 − x.
(1 point)
Group of answer choices
True
False
5x − 3(2x − 4) = 5x - 6x + 12 = 12-x
True
To determine if the expression 5x − 3(2x − 4) is equivalent to the expression 12 − x, we can simplify both expressions and compare the results.
Let's start by simplifying the first expression using the distributive property:
5x − 3(2x − 4) = 5x − 6x + 12
Combining like terms, we have:
5x − 6x + 12 = -x + 12
Now let's simplify the second expression:
12 − x
Since there are no like terms to combine or any further simplification possible, we can conclude that the simplified expression is -x + 12.
Therefore, the expression 5x − 3(2x − 4) is equivalent to the expression 12 − x. Hence, the answer is True.