Question 1028495

The sum of 1/2 and four times a number is equal to 5/6 subtracted from five times the number. Find the number.


The sum of 1/2 and four times a number 
let number be x

4 times a number = 4x

add 1/2
{{{4x + (1/2)}}}

is equal to 5/6 subtracted from five times the number. 

{{{5x-(5/6)}}}



{{{4x + (1/2)}}}={{{5x-(5/6)}}}


{{{(8x+1)/2 =(30x-5)/6}}}


{{{6(8x+1)=2(30x-5)}}}


48x+6=60x-10


12x=16

x= 16/12

x=(4/3)