Are the three expressions equivalent why or why not

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! :)