Solve the equation |7x+5|=40?

We'll use the property of absolute value to solve this
equation:

|7x + 5| = 40 <=> 7x + 5 = 40 ,
7x+5 `>=` 0

7x + 5 = -40, 7x+5 <
0

We'll solve the first
case:

7x + 5 = 40

7x = 40 -
5

7x = 35

x =
5

Since the values of x must belong to the interval
[-5/7,`oo` ), the value x = 5 represents the solution of
equation.

We'll solve the 2nd
case:

7x + 5 = -40

7x =
-45

x = -45/7

Since the values
of x must belong to the interval (-` oo` ; -5/7), the value x = -45/7 represents also
the solution of equation.

The equation will
have two solutions:{-45/7 ; 5}.