Sure, let's evaluate the expression step-by-step for [tex]\( x = 5 \)[/tex].
The given expression is:
[tex]\[ 7 \cdot (x - 8) - 3 \][/tex]
1. Substitute [tex]\( x = 5 \)[/tex] into the expression:
[tex]\[ 7 \cdot (5 - 8) - 3 \][/tex]
2. Perform the operation inside the parentheses first:
[tex]\[ 5 - 8 = -3 \][/tex]
So, the expression now is:
[tex]\[ 7 \cdot (-3) - 3 \][/tex]
3. Next, multiply [tex]\( 7 \)[/tex] by [tex]\( -3 \)[/tex]:
[tex]\[ 7 \cdot (-3) = -21 \][/tex]
So, the expression now is:
[tex]\[ -21 - 3 \][/tex]
4. Finally, subtract [tex]\( 3 \)[/tex] from [tex]\( -21 \)[/tex]:
[tex]\[ -21 - 3 = -24 \][/tex]
So, the evaluated result of the expression for [tex]\( x = 5 \)[/tex] is:
[tex]\[ \boxed{-24} \][/tex]
