Of course! Let's solve the equation step-by-step:
The given equation is:
[tex]\[
-5x - 7 = 108
\][/tex]
Step 1: Add 7 to both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
-5x - 7 + 7 = 108 + 7
\][/tex]
This simplifies to:
[tex]\[
-5x = 115
\][/tex]
Step 2: Divide both sides of the equation by -5 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{115}{-5}
\][/tex]
This simplifies to:
[tex]\[
x = -23
\][/tex]
Thus, the solution to the equation [tex]\( -5x - 7 = 108 \)[/tex] is:
[tex]\[
x = -23
\][/tex]