Answer:
[tex]x=10[/tex]
Step-by-step explanation:
The perimeter of a rectangle is given by the formula:
[tex]P=2w+2l[/tex]
Where w is the width and l is the length.
The width is 4x and the length is 5x+2.
We also know the perimeter is 184. So, substitute:
[tex]184=2(4x)+2(5x+2)[/tex]
Distribute:
[tex]184=8x+10x+4[/tex]
Combine like terms:
[tex]184=18x+4[/tex]
Subtract 4 from both sides:
[tex]180=18x[/tex]
Divide by 18:
[tex]x=10[/tex]
So, the value of x is 10
And we're done :)
