Question

Solve the function 4|2x+4|−7=17

Answer 1

`x = 1` or
`x = -5`

Explanation:

`4|2x + 4|-7 = 17\\\to4|2x + 4| = 24\\\to |2x + 4| = 6`

Case 1) 2x + 4 is positive

`2x + 4 = 6\\\to 2x = 2\\\to x = 1`

Case 2) 2x + 4 is negative

`2x + 4 = -6\\\to 2x = -10\\\to x = -5`