Question

What is X -1/12 minus X +1/16 equals 1/24

Answer 1

`(x - 1)/(12) - (x + 1)/(16) = (1)/(24)`

`((x - 1)/(12) - (x + 1)/(16) = (1)/(24))48`

`4(x - 1 ) - 3(x + 1) = 2 \\ 4x - 1 - 3x - 1 = 2 \\ x - 2 = 2 \\ x = 4`

Answer 2

(x-1)/ 12 - (x+1)/16 = 1 /24

multiply each term by the lcm to get rid of the fraction lcm = 48)

48* (x-1)/ 12 - 48* (x+1)/16 = 48* 1 /24

cancel

4* (x-1) -3* (x+1) = 2

distribute

4x-4 -3x-3 =2

combine like terms

x-7=2

add 7 to each side

x=9