To write the phrase "a number which is 4 less than twice the value of x" as an algebraic expression, let's break it down step-by-step:
1. Identify the variable: The problem refers to an unknown number, so we will use [tex]\( x \)[/tex] to represent this variable.
2. Twice the value of [tex]\( x \)[/tex]: This means we take the variable [tex]\( x \)[/tex] and multiply it by 2. In algebraic terms, this is written as [tex]\( 2x \)[/tex].
3. 4 less than twice the value of [tex]\( x \)[/tex]: "4 less than" indicates a subtraction of 4 from the expression we have in step 2. Therefore, we subtract 4 from [tex]\( 2x \)[/tex].
Putting all these steps together, the algebraic expression for "a number which is 4 less than twice the value of [tex]\( x \)[/tex]" is:
[tex]\[ 2x - 4 \][/tex]
So, the algebraic expression is [tex]\( 2x - 4 \)[/tex].
