Certainly! Let's solve the given equation step by step.
1. The initial equation is:
[tex]\[
x + 13 = 2(x + 2)
\][/tex]
2. First, distribute the 2 on the right side:
[tex]\[
x + 13 = 2x + 4
\][/tex]
3. Next, we want to get all the terms involving [tex]\( x \)[/tex] on one side and the constants on the other. Subtract [tex]\( x \)[/tex] from both sides:
[tex]\[
13 = x + 4
\][/tex]
4. Now, subtract 4 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\[
13 - 4 = x
\][/tex]
[tex]\[
9 = x
\][/tex]
So, the solution to the equation is:
[tex]\[
x = 9
\][/tex]
