Yes, the three expressions are equivalent. This is because when you simplify them, all three have the same answer 10x + 4.
The first equation is 12x - 1/6(12x-24).
To begin simplifying, we have to distribute the 1/6 through the parentheses or multiply all of the numbers inside by it. This gives you:
12x - 2x +4
If you combine the like terms that include the variables, you get:
10x+4
The second expression is already in its most simplified form: 10x + 4
The final equation is 2(5x + 2). Just like we did with the first expression, we need to distribute the 2 through the parentheses. This gives you:
10x + 4
Therefore, all of the expressions are equivalent or equal because they all equal 10x + 4.
Hope this helps! :)
