The flat screen has the length of 2x and the width of 3x+2. What is x if the perimeter is 74 inches?

The perimeter is equal to 2 times the length plus 2 times the width

We can use the equation p = 2l + 2w, where l is the length and w is the width

Since the length is 2x, we can plug 2x in for l

Same with width. We can plug in 3x+2 as w

p = 2 (2x) + 2 (3x+2)

Multiply it out. For 2 (3x+2), distribute 2 to both 3x and 2.

p = 4x + 6x + 4

Combine like terms.

p = 10x + 4

Since the perimeter is 74 inches, we can plug in 74 as p

74 = 10x + 4

Subtract 4 from both sides

70 = 10x

Divide both sides by 10

7 = x