the sum of 56 and 5 times a number is to equal to 23 subtrac

the sum of 5/6 and 5 times a number is to equal to 2/3 subtracted from six times the number. find the number

Let the number be x

sum of 5/6 and 5 times a number -----> ( 5/6 + 5x )

2/3 subtracted from six times the number ---> 6x -2/3

Now equate the expression found:

6x - 2/3 = 5x + 5/6

subtracyt 5x from both sides : 6x -5x -2/3 = 5x -5x + 5/6

x = 2/3 +5/6 = (2*2 +5)/6

= 9/6 = 3/2

x = 3/2