Certainly! Here is the detailed, step-by-step solution for solving the equation:
[tex]\[
\begin{array}{l}
2(u+4)=14 \\
u+4=7 \\
u=3 \\
\text{ Divide both sides by } 2 \\
\text{ Subtract } 4 \text{ from both sides }
\end{array}
\][/tex]
Let's break it down:
1. Start with the given equation:
[tex]\[
2(u+4)=14
\][/tex]
2. Divide both sides of the equation by 2:
[tex]\[
u+4 = \frac{14}{2}
\][/tex]
Simplifying the right side, we get:
[tex]\[
u+4 = 7
\][/tex]
3. Subtract 4 from both sides of the equation to solve for [tex]\( u \)[/tex]:
[tex]\[
u = 7 - 4
\][/tex]
Simplifying the right side, we get:
[tex]\[
u = 3
\][/tex]
So the final solution is:
[tex]\[
u = 3
\][/tex]