Question

Solve the equation for x in terms of c.

2/3 (cx + 1/2) - 1/4 = 5/2
`(2)/(3)\left(cx+(1)/(2)\right)-(1)/(4)=(5)/(2)`

A.) x = 9/4c
`(9)/(4c)`
B.) x = 27/8c
`(27)/(8c)`
C.) x= 29/18c
`(29)/(18c)`
D.) x = 29/8c
`(29)/(8c)`

Answer 1

D

Explanation:

Simplify and rearrange to solve.

2/3 (cx + 1/2) - 1/4 = 5/2

2/3 (cx + 1/2) = 5/2 + 1/4

2/3 (cx + 1/2) = 11/4

cx + 1/2 = 11/4 divided by 2/3

cx + 1/2 = 33/8

cx = 33/8 - 1/2 = 29/8

x= 29 / 8 divided by x = 29/8c.

Hope this helps.