Question

use the table to find the value of x. then write a sentence to explain, in words, the meaning and the value of x. a certain movie theatre featured both 2d and 3d digital movie screens in 2020.

type of screen	2d	3d	total screens

Explanation:

Step1: Set up an equation

We know that the sum of 2 - D and 3 - D screens is the total number of screens. So, $(x)+(x - 38730)=205510$.

Step2: Simplify the left - hand side

Combining like terms, we get $2x-38730 = 205510$.

Step3: Isolate the variable term

Add 38730 to both sides of the equation: $2x=205510 + 38730$. So, $2x=244240$.

Step4: Solve for x

Divide both sides by 2: $x=\frac{244240}{2}=122120$.

Answer:

$x = 122120$. The value of $x$ represents the number of 3 - D digital movie screens in the movie theatre in 2020. The number of 2 - D digital movie screens is 38730 less than the number of 3 - D digital movie screens, and the sum of 2 - D and 3 - D digital movie screens is 205510.