To solve the given equation [tex]\(\frac{-x - 5}{2} = -4\)[/tex], follow these steps:
### Step 1: Eliminate the fraction
To remove the fraction, multiply both sides of the equation by 2:
[tex]\[ 2 \cdot \frac{-x - 5}{2} = -4 \cdot 2 \][/tex]
This simplifies to:
[tex]\[ -x - 5 = -8 \][/tex]
### Step 2: Isolate the variable term
Add 5 to both sides of the equation to isolate the term containing [tex]\(x\)[/tex]:
[tex]\[ -x - 5 + 5 = -8 + 5 \][/tex]
This simplifies to:
[tex]\[ -x = -3 \][/tex]
### Step 3: Solve for [tex]\(x\)[/tex]
To find [tex]\(x\)[/tex], divide both sides of the equation by -1:
[tex]\[ -x / -1 = -3 / -1 \][/tex]
This simplifies to:
[tex]\[ x = 3 \][/tex]
Therefore, the solution to the equation [tex]\(\frac{-x - 5}{2} = -4\)[/tex] is:
[tex]\[ x = 3 \][/tex]
