Final answer:
The student's question about finding equivalent expressions to (74=2x-3) appears to hold a typo or misunderstanding. None of the provided options directly match the given expression when simplified. It's essential to have the question and options clarified for an accurate comparison.
Step-by-step explanation:
The student has asked which expressions are equivalent to (74=2x-3). To find expressions equivalent to this one, there's a need to apply algebraic principles such as the distributive property, combining like terms, and understanding the multiplication of numbers with different signs.
Let's first correct the possible typo in the given expression. Assuming it should be 74 = 2x - 3, we can then look at the options provided. Practicing simplicity in algebra, we can add 3 to both sides of the equation, resulting in 77 = 2x, and then divide both sides by 2 to get x = 38.5.
Option 2, 0 = (78x - 73), simplifies to 73 = 78x, and dividing both sides by 78 yields x = 73/78, which is not equivalent to our original equation.
Option 3, 6/2x - 21, is missing an equals sign and cannot be considered equivalent without further context.
Option 4, 76 - 21 = 70(3), simplifies to 55 = 210, which is not an equivalent expression.
Because none of the provided options are directly equivalent to the corrected form of the given expression, there may be a misunderstanding or a typo. It's crucial to review and clarify the original question's options and ensure they are presented correctly.