To solve the equation [tex]\( 2x + 9 = 35 \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
2x + 9 = 35
\][/tex]
2. Isolate the term with [tex]\( x \)[/tex] by subtracting 9 from both sides of the equation:
[tex]\[
2x + 9 - 9 = 35 - 9
\][/tex]
This simplifies to:
[tex]\[
2x = 26
\][/tex]
3. Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 2:
[tex]\[
\frac{2x}{2} = \frac{26}{2}
\][/tex]
Simplifying this gives:
[tex]\[
x = 13
\][/tex]
4. Verify by checking the potential answers:
The possible answers are 13, 22, 52, and 157.5. We have already determined that:
[tex]\[
x = 13
\][/tex]
Therefore, the solution to the equation [tex]\( 2x + 9 = 35 \)[/tex] is [tex]\( x = 13 \)[/tex].
