Certainly, let's solve for [tex]\( x \)[/tex] in the equation [tex]\( 17 - x = 36 \)[/tex].
1. Start with the given equation:
[tex]\[
17 - x = 36
\][/tex]
2. To isolate [tex]\( x \)[/tex] on one side of the equation, we first need to eliminate the constant term on the left side. We do this by subtracting 17 from both sides:
[tex]\[
17 - x - 17 = 36 - 17
\][/tex]
3. Simplifying both sides of the equation gives:
[tex]\[
-x = 19
\][/tex]
4. To solve for [tex]\( x \)[/tex], we need to remove the negative sign in front of [tex]\( x \)[/tex]. We can do this by multiplying both sides of the equation by [tex]\(-1\)[/tex]:
[tex]\[
-x \times -1 = 19 \times -1
\][/tex]
5. This simplifies to:
[tex]\[
x = -19
\][/tex]
Therefore, the solution to the equation [tex]\( 17 - x = 36 \)[/tex] is:
[tex]\[
x = -19
\][/tex]
