Answer:
C. [tex](x+4) + (x+4)[/tex]
Step-by-step explanation:
Given:
The expression is given as:
[tex]2x+8[/tex]
The values of 'x' are:
[tex]x=7\ and\ x=5[/tex]
Now, plug in 7 and for 'x' in the above expression and determine the value of the expression.
When [tex]x=5\ and\ 7[/tex], the expression is:
[tex]2\times 5+8=10+8=18[/tex]
[tex]2\times 7+8=14+8=22[/tex]
Now, let us check the value of each of the options and check which expression is equivalent to the given expression.
Option A:
[tex]2x+10+10[/tex]
Plug in 5 for 'x' and simplify. This gives,
[tex]2\times 5+10+10=10+20=30\ne18[/tex]
So, this expression is not equivalent to the given expression.
Option B:
[tex]2(x+2)[/tex]
Plug in 5 for 'x' and simplify. This gives,
[tex]2(5+2)=2\times 7=14\ne18[/tex]
So, this expression is not equivalent to the given expression.
Option C:
[tex](x+4)+(x+4)[/tex]
Plug in 5 for 'x' and simplify. This gives,
[tex](5+4)+(5+4)=9+9=18=18[/tex]
Now, plug in 7 for 'x' and simplify. This gives,
[tex](7+4)+(7+4)=11+11=22=22[/tex]
So, this expression is equivalent to the given expression.
Option D:
[tex](x+4)[/tex]
Plug in 5 for 'x' and simplify. This gives,
[tex]5+4=9\ne18[/tex]
So, this expression is not equivalent to the given expression.
Option E:
[tex]2(2x+4)[/tex]
Plug in 5 for 'x' and simplify. This gives,
[tex]2(2\times 5+4)=2(10+4)=2(14)=28\ne18[/tex]
So, this expression is not equivalent to the given expression.
Therefore, option C is the correct answer.
