Final answer:
The value of x in the given equation 5x+6 = 46 is 8.
Step-by-step explanation:
The given perimeter of a rectangle is 46 inches and is represented in terms of x as 5x+6. To find the value of x, we can set up an equation using the given information: 5x+6 = 46. Next, we can solve for x by subtracting 6 from both sides of the equation to isolate the term with x. This gives us 5x = 40. Finally, we can divide both sides of the equation by 5 to solve for x, resulting in x = 8.