To solve the equation [tex]\( x + 3.6 = -1.7 \)[/tex] for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. Here is the step-by-step process to achieve that:
1. Begin with the equation:
[tex]\[
x + 3.6 = -1.7
\][/tex]
2. To isolate [tex]\( x \)[/tex], we need to eliminate the [tex]\( 3.6 \)[/tex] from the left side. This can be done by adding the additive inverse (negative) of [tex]\( 3.6 \)[/tex] to both sides of the equation.
3. Adding [tex]\(-3.6\)[/tex] to both sides gives:
[tex]\[
x + 3.6 + (-3.6) = -1.7 + (-3.6)
\][/tex]
4. Simplifying both sides, we get:
[tex]\[
x = -1.7 + (-3.6)
\][/tex]
Therefore, the steps to isolate [tex]\( x \)[/tex] involve adding [tex]\(-3.6\)[/tex] to both sides or subtracting [tex]\( 3.6 \)[/tex] from both sides. The correct options to solve this equation in one step are:
- Add [tex]\(-3.6\)[/tex] to both sides.
- Subtract [tex]\( 3.6 \)[/tex] from both sides.
