Question

3x+16/x+7=7/4 then x=?

Answer 1

Answer:

x=3

Explanation:

expressing the bases in terms of 4

16=42

64=43

Rewriting the expression:
165x=64x+7

42⋅(5x)=43⋅(x+7)

410x=43x+21

Now we can equate the powers:

10x=3x+21

7x=21

x=3

Answer 2

3x+16/x+7=7/4
(3x+16)4=7(x+4)
12x+64=7x+28
12x-7x=28-64
5x=36
x=7.2