To express "five more than twice a number" using the variable [tex]\( x \)[/tex], you can follow these steps:
1. Identify the phrase "twice a number." This means to multiply the variable [tex]\( x \)[/tex] by 2, which gives you [tex]\( 2x \)[/tex].
2. Now, look at the phrase "five more than." This means you need to add 5 to the expression you derived in step 1.
3. Combine the results from steps 1 and 2. Adding 5 to [tex]\( 2x \)[/tex] gives you [tex]\( 2x + 5 \)[/tex].
So, the expression "five more than twice a number" using the variable [tex]\( x \)[/tex] is:
[tex]\[ 2x + 5 \][/tex]