when solving the equation −12(x+10)=−3 identify the operation that should be done first.(1 point)

3 answers

To solve the equation \(-12(x + 10) = -3\), the first operation that should be done is to isolate the term involving \(x\). This involves dealing with the multiplication by \(-12\).

You can achieve this by dividing both sides of the equation by \(-12\):

\[ x + 10 = \frac{-3}{-12} \]

This simplifies the process by eliminating the multiplication. So, the operation that should be done first is to divide both sides by \(-12\).

which one is right
subtract 10 subtract 10 multiply by −2 multiply by negative 2 divide by −2 divide by negative 2 add 10

To solve the equation \(-12(x + 10) = -3\), the correct first operation would be to divide by -12 (which corresponds to the option "divide by -2" since dividing by -12 would involve simplifying by -6 in this context). However, let's break it down using your provided choices, assuming we need an operation that relates to the context:

In this case, once you've factored out the equation, an immediate way to simplify is generally to isolate \(x\):

  • If you look at how to isolate \(x\) directly without rewriting the equation:
  1. The term \(10\) is added to \(x\), so you would eventually want to subtract 10 from both sides after dealing with the multiplication side.

However, if you are looking for the very first operation in terms of handling the equation (in practical steps), you would divide by \(-12\), and it involves eventually moving towards a form where you isolate \(x\) by subtracting 10 afterward.

Thus, in the context given, if focusing on immediate steps:

  • The operation that would logically come first to make it simpler is "divide by -12", but if you must follow through with handled operations in subsequent steps, you will get to "subtract 10" next as part of isolating \(x\).

Make your choice based on this guidance regarding the immediate transformation or subsequent steps.