Final answer:
To solve the equation x + 16 = 1/2(4x + 16), multiply both sides by 2 and simplify to find the value of x.
Step-by-step explanation:
To solve the equation x + 16 = 1/2(4x + 16), we need to eliminate the fraction by multiplying both sides of the equation by the denominator, which is 2. This gives us:
2(x + 16) = 4x + 16
Next, distribute the 2 on the left side of the equation:
2x + 32 = 4x + 16
Subtract 2x from both sides of the equation:
32 = 2x + 16
Subtract 16 from both sides of the equation:
16 = 2x
Finally, divide both sides of the equation by 2 to solve for x:
x = 8