Verified Answer :

x = 2

4x + 8 = 16
      -8     -8
----------------
4x= 8
--     --
4     4
------------
x=2

Answer:

\(x=2\)

Step-by-step explanation:

We have been given an equation \(4x+8=16\). we are asked to find the value of x that makes our given equation true.

Let us solve our given equation for x using opposite operations.

Subtract 8 from both sides:

\(4x+8-8=16-8\)

\(4x=8\)

Divide both sides by 4:

\(\frac{4x}{4}=\frac{8}{4}\)

\(x=2\)

Therefore, \(x=2\) is the solution for our given equation.

Let us verify our answer:

\(4x+8=16\)

\(4(2)+8=16\)

\(8+8=16\)

\(16=16\)

Both sides are equal. Hence proven \(x=2\) is solution for our given equation.