Find the value of x

Question

If  (x-5)/4 is 3 Less than (7+x)/5

Answer 1

If  (x-5)/4 is 3 Less than (7+x)/5

Let A = (x-5)/4

Let B = (7+x)/5

Then we cam rewrite the original question as: if A is 3 less than B

And we can write that as the following equation: A = B - 3   (A is 3 less than B is)

Substituting back in for the values of A and B gives us,

(x - 5)/4 = (7 + x)/5 - 3

Multplying both sides by 20 (because 4 * 5 = 20)

5(x - 5) = 4(7 + x) - 60

5x - 25 = 28 + 4x - 60

5x - 4x = 28 + 25 - 60

x = 53 - 60

x = -7

Answer 2

the equation will be as follows;

(x-5)/4 + 3 = (7+x)/5   --->>>   (x-5)/4 + 12/4 = (7+x)/5  { this is because 3 = 12/4 }

(x-5+12)/4 = (7+x)/5   --->>>   (x+7)/4 = (7+x)/5  ---->>>>   5(x+7) = 4(7+x)  --->>>  5x+35 = 28+4x  and

5x-4x=28-35  ---->>>>   x=-7