Answer:
x = 6
Step-by-step explanation:
Given : The area of a rectangle is 56 cm². The length is 2 cm more than x and the width is 5 cm less than twice x.
We have to find the value of x.
Given area of rectangle = 56 cm²
Length is 2 cm more than x mathematically written as
L = 2 + x
Width is 5 cm less than twice x mathematically written as
W = 2x - 5
Thus, we know area of rectangle = length × width
Substitute, we have,
56 = (2 + x)(2x - 5)
Multiply each term of first bracket with each term of second bracket , we have,

Simplify, we have,

Subtract 56 both sides, we have,

Simplify , we get,

Using quadratic formula for the general equation
, we have 

Simplify, we get,

Also, 
We get,

Thus,

Simplify, we get,

Since, x has to be whole number so x = 6