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]
