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Solve for [tex]\( x \)[/tex]:

[tex]\[ -5x - 1 = -16 \][/tex]

Sagot :

Let's solve the equation [tex]\( -5x - 1 = -16 \)[/tex] step by step.

1. Start with the given equation:
[tex]\[ -5x - 1 = -16 \][/tex]

2. Isolate the term containing [tex]\( x \)[/tex]:
To do this, we need to move the constant term on the left side ([tex]\(-1\)[/tex]) to the right side by adding 1 to both sides of the equation. This gives us:
[tex]\[ -5x - 1 + 1 = -16 + 1 \][/tex]
Simplifying this, we get:
[tex]\[ -5x = -15 \][/tex]

3. Solve for [tex]\( x \)[/tex]:
Now, we need to isolate [tex]\( x \)[/tex] by dividing both sides of the equation by [tex]\(-5\)[/tex]:
[tex]\[ x = \frac{-15}{-5} \][/tex]

4. Simplify the fraction:
Dividing [tex]\(-15\)[/tex] by [tex]\(-5\)[/tex] results in:
[tex]\[ x = 3 \][/tex]

So, the solution to the equation [tex]\( -5x - 1 = -16 \)[/tex] is:
[tex]\[ x = 3 \][/tex]