Certainly! Let's solve the equation step-by-step:
1. Start with the given equation:
[tex]\[
2(x + 1) = 8
\][/tex]
2. Distribute the 2 on the left-hand side:
[tex]\[
2 \cdot x + 2 \cdot 1 = 8
\][/tex]
Simplifies to:
[tex]\[
2x + 2 = 8
\][/tex]
3. Isolate the term with [tex]\( x \)[/tex] by subtracting 2 from both sides of the equation:
[tex]\[
2x + 2 - 2 = 8 - 2
\][/tex]
Simplifies to:
[tex]\[
2x = 6
\][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 2:
[tex]\[
\frac{2x}{2} = \frac{6}{2}
\][/tex]
Simplifies to:
[tex]\[
x = 3
\][/tex]
Thus, the solution to the equation [tex]\( 2(x + 1) = 8 \)[/tex] is:
[tex]\[
x = 3
\][/tex]
