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

length : 2x

width : 3x+2

Perimeter = 2 (l+w)

substitute in knowns

74 = 2 (2x+3x+2)

combine like terms

74 = 2 (5x+2)

distribute

74 = 10x+4

subtract 4 from each side

70 = 10x

divide by 10

x=7

Answer x=10