Question

l4x-7l=5
solve

Answer 1

First of all, |4x - 7| is equal to a positive number, so it should have solutions.

Now let us suppose 4x - 7 > 0; i.e., x > 7/4.
Then
|4x - 7| = 4x - 7 = 5
=> 4x = 12
=> x = 3
Since this is consistent with x > 7/4, x = 3 is one solution.

Answer 2

Now let us suppose that 4x - 7 < 0; i.e., x < 7/4
Then
|4x - 7| = 7 - 4x = 5
=> ...

and I'll let you take it from here.

Answer 3

3 and 1/2

Answer 4

14x -71=5
add71 to both sides
14x= 76
divide both sides by 14
x= (insert answer you get here!)

Answer 5

@summerflower: no, we're talking about absolute value signs here.
@akabhinav: I can write down the answer as well, but that's not the point of this site, is it?

Answer 6

ooh! then nevermind! sorry about that, i just thought it was an equation.