Sure, let's solve the equation step-by-step:
The given equation is:
[tex]\[ -60 / x - 5 = 7 \][/tex]
### Step 1: Isolate the term involving [tex]\( x \)[/tex]
First, we need to isolate the term involving [tex]\( x \)[/tex]. We can do this by adding 5 to both sides of the equation:
[tex]\[ -60 / x - 5 + 5 = 7 + 5 \][/tex]
Simplifying both sides, we get:
[tex]\[ -60 / x = 12 \][/tex]
### Step 2: Solve for [tex]\( x \)[/tex]
Next, we need to solve for [tex]\( x \)[/tex]. We can do this by multiplying both sides of the equation by [tex]\( x \)[/tex]:
[tex]\[ -60 = 12x \][/tex]
### Step 3: Isolate [tex]\( x \)[/tex]
To isolate [tex]\( x \)[/tex], divide both sides of the equation by 12:
[tex]\[ x = -60 / 12 \][/tex]
### Step 4: Simplify the right-hand side
Performing the division gives us:
[tex]\[ x = -5 \][/tex]
So, the solution to the equation is:
[tex]\[ x = -5 \][/tex]
Therefore, the value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( -60 / x - 5 = 7 \)[/tex] is [tex]\( -5 \)[/tex].
