Sure, let's solve the given equation step-by-step.
The equation we are given is:
[tex]\[
\frac{x-5}{3} + 5 = 0
\][/tex]
Step 1: Isolate the fraction by getting rid of the constant term on the left side.
To do this, subtract 5 from both sides of the equation:
[tex]\[
\frac{x-5}{3} + 5 - 5 = 0 - 5
\][/tex]
Simplifying, we get:
[tex]\[
\frac{x-5}{3} = -5
\][/tex]
Step 2: Eliminate the fraction by multiplying both sides by 3.
This will help to clear the denominator:
[tex]\[
3 \cdot \frac{x-5}{3} = -5 \cdot 3
\][/tex]
Simplifying, we get:
[tex]\[
x - 5 = -15
\][/tex]
Step 3: Solve for [tex]\( x \)[/tex] by isolating it on one side of the equation.
To do this, add 5 to both sides:
[tex]\[
x - 5 + 5 = -15 + 5
\][/tex]
Simplifying, we get:
[tex]\[
x = -10
\][/tex]
So, the solution to the equation [tex]\(\frac{x-5}{3} + 5 = 0\)[/tex] is:
[tex]\[
x = -10
\][/tex]
