Answer :

Alright, let's solve the equation step by step:

Given the equation:
[tex]\[ \frac{x-4}{3} = 5 \][/tex]

1. Isolate the fraction: The equation states that [tex]\(\frac{x-4}{3}\)[/tex] is equal to 5. To eliminate the denominator, we multiply both sides of the equation by 3.

[tex]\[ 3 \cdot \frac{x-4}{3} = 5 \cdot 3 \][/tex]

Simplifying this, we get:
[tex]\[ x - 4 = 15 \][/tex]

2. Solve for [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we need to get rid of the -4. We do this by adding 4 to both sides of the equation.

[tex]\[ x - 4 + 4 = 15 + 4 \][/tex]

This simplifies to:
[tex]\[ x = 19 \][/tex]

So, the solution to the equation [tex]\(\frac{x-4}{3} = 5\)[/tex] is:
[tex]\[ x = 19 \][/tex]