Question

How to solve
-10|-5x-4|-10=-20

Answer 1

x = 1 or x =
`(3)/(5)`

Explanation:

given

- 10 | 5x - 4 | - 10 = - 20 ( add 10 to both sides )

- 10 | 5x - 4 | = - 10 ( divide both sides by - 10 )

| 5x - 4 | = 1

The absolute value always returns a positive value, however, the expression inside can be positive or negative, hence

5x - 4 = 1 ( add 4 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

OR

5x - 4 = - 1 ( add 4 to both sides )

5x = 3 ( divide both sides by 5 )

x =
`(3)/(5)`

Solutions are x = 1, x =
`(3)/(5)`

Answer 2

Exact Form:

x= -1, -3/5

Decimal Form:

x=-1, -0.6

Explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable